Sequence and Series


Videos


Arithmetic Progression

2110

Properties of an A.P.

1700

Selection of Terms of an A.P.

706

Sum of Terms in A.P.

498

Results on Sum of Terms of an A.P.

2004

Insertion of Arithmetic Means

727

Introduction to G.P.

1160

Selection of Terms of a G.P.

607

Properties of Terms of G.P.

2218

Sum of Terms in G.P.

1215

Insertion of Geometric Means

645

Harmonic Progression

1015

Insertion of Harmonic Means and Properties of Terms of H.P.

404

Properties of Arithmetic, Geometric & Harmonic Means

1955

Arithmetico - Geometric Sequence

601

Sum of n Terms of an Arithmetico - Geometric Sequence

1489

Introduction to Special Series

2769

Special Series: Natural Numbers & Variety

1977

Method of Differences

721

Vn Method

3076

Exponential Series

1482

Logarithmic Series

605

Double Summation & Miscellaneous Series

2173

Unfolding a Concept

311

Sequences and Series , Are They Same?

213

Comparing the Big Sisters

176

Thickness Was in GP When Folding a Paper

98

Finite GP and Infinite GP

187

Geometric Mean

104

Properties of GP

120

Sum of n Terms

131

Sequence in Your Car Ride

87

Looking at an A.P

161

Some Specialities

232

Middle Term and Finding Sum of N Terms

125

2 More Properties Part 1

86

2 More Properties Part 2

138

Arithmetic Way of Being Mean Part 2

245

Sum of n Terms

142

Arithmetic Way of Being Mean Part 1

201

HARMONIC Progression

162

Insertion of n Hms

78

HM of HP

194

Solved Example

335

Relation between AM, GM and HM Part 2

196

Things We Are Going to Deal

106

A.G.P

191

Summations

85

Summation and Proof

211

When Difference between Consecutive Terms Is a Progression

191

Method of Difference Using an Example

207

Vn Method

395

Relation between AM, GM and HM Part 1

57

JEE Main Analysis

173

Focus on JEE

173

Focus on JEE

121

Focus on JEE

112

Focus on JEE

154

Focus on JEE

214

Focus on JEE

155

Focus on JEE

199

JEE Advanced Analysis

173

Focus on JEE

158

Focus on JEE

130

Focus on JEE

161

Focus on JEE

176

Focus on JEE

161

Focus on JEE

168

Focus on JEE

142

Focus on JEE

153

Focus on JEE

144

Focus on JEE

350

Focus on JEE

84

Focus on JEE

355

kth Order Differences Forms A.P.

290

kth Order Differences Forms G.P.

82

Introduction to Sequences

276

Finite and Infinite Sequence

175

Progression

360

Series

131

Arithmetic Progression

334

Type of A.P. Based on Common Difference

145

Exponential Series

281

Condition for 3 Terms in an A.P

114

Sum of Terms Equidistant From Beginning and End

61

Effect of Adding a Constant to Each Term of an A.P.

116

Effect of Multiplying a Constant to Each Term of A.P.

120

Logarithmic Series

183

Sum/Difference of Two A.P.'s

73

Linear Nature of nth Term Expression

151

Selection of Three Consecutive Terms in an A.P.

333

Selection of Odd Number of Terms in an A.P.

102

Selection of Even Number of Terms in an A.P.

134

Method of Subtraction/Difference

593

Method of Subtraction/Difference

397

Vn Method for Denominator

412

Introduction to Sum of Terms of A.P.

399

Sum of n Terms of A.P.

40

Single Harmonic Mean between Two Numbers

109

n Harmonic means between two numbers

295

Insertion of Single Arithmetic Mean between 2 Numbers

144

Insertion of n Arithmetic Means Between 2 Numbers

266

Properties of Arithmetic Means

167

Introduction to G.P.

243

Identifying Series to be in G.P.

118

Increasing and Decreasing G.P.

250

Selection of Three Consecutive Terms in a G.P.

244

Selection of Odd Number of Terms in a G.P.

132

Selection of Even Number of Terms in a G.P.

230

Multiplication Division Property

147

Equidistant Terms

200

Raising to Power

170

Basic Relation Between Three Consecutive Terms of a G.P.

93

Manipulating 2 G.P.s

99

Sum of n Terms of a G.P. With r > 1

290

Sum of n Terms of a G.P. With r < 1

219

Sum of n Terms of a G.P. With r = 1

78

Sum of Infinite Terms of a G.P. With 0 < r < 1

308

Sum of Infinite Terns of a G.P. With -1< r < 0

316

Single Geometric Means Between Two Numbers

221

n Geometric Means Between Two Numbers

327

Properties of Geometric Mean Between 2 Numbers

280

Identifying Series in H.P.

218

Defining H.P.

311

nth Term of H.P. from Start

340

nth Term of H.P. from End

145

Introduction to AGP

378

General Term of AGP

222

Sum of Finite Terms of AGS

591

Sum of Infinite Terms of AGS

236

Introduction to Sigma Notation

130

Properties of Sigma Notation

279

Distributive Laws of Sigma Notation

129

Theorems on Sigma Operator

396

Theorems on Sigma Operator

100

Theorems on Sigma Operator

161

Introduction to Pi Operator

187

Properties of Pi Operator

314

Properties of Pi Operator

106

Properties of Pi Operator

125

Sum of First n Natural Numbers

114

Sum of Squares of First n Natural Numbers

409

Sum of Cube and Fourth Powers of Natural Numbers

429

Vn Method for Numerator

753

Vn Method for Numerator

437

Introduction to Sequence & Series

942

A.P. and it's General Term

956

Properties of Terms of an A.P.

1395

Selection of Odd and Even Terms of an A.P.

706

Sum of n Terms of an A.P

497

Important Results on Sum of Terms of an A.P.

218

Arithmetic Mean of 2 Numbers

144

n Arithmetic Means Between 2 Numbers

266

Introduction to G.P.

611

G.P. & it's General Term

276

Selection of Odd and Even Terms of a G.P.

606

Properties of Terms of G.P.

974

Sum of n Terms of a G.P.

589

Sum of Infinite Terms of a G.P.

625

Insertion of Geometric Means between Two Numbers

547

Introduction to H.P.

524

H.P. & it's General Term

485

Introduction to Arithmetico-Geometric Sequence

600

Sum of Arithmetico-Geometric Sequence

1071

Introduction and Properties of Sigma Operator

550

Theorems of Sigma Operator

674

Introduction and Properties of Pie Operator

755

Sum of First 'n' Natural Numbers

113

Sum of First n^2 and n^3 Natural Numbers

839

Method of Differences

1009

Eulers Number and Exponential Series

369

Logarithmic Series

183

Insertion of Harmonic Means between Two Numbers

404

A.M., G.M. & H.M. Inequality

403

General Term of an A.P.

614

Vn method

412

General Term of Some Special Series

374

Ratio of Terms When Sum of 2 Different A.P. is Given

218

General Term of a G.P.

276

nth Term From Last of a G.P.

271

Logarithmic Property

223

kth Order Differences Forms A.P.

777

Relation Between A.M, G.M and H.M

294

A,G and H Form a GP

108

Summation and Proof

508

Condition for 3 Terms in an A.P.

154

Sum of Terms Equidistant From Beginning and End

150

Any terms of an A.P. in terms of Sum of Terms Equidistant From That Term

149

Middle Term of an A.P.

101

Summary and Practice

89

Effect of Adding/Subtracting a Constant to Each Term of an A.P.

214

Effect of Mutiplying a Constant to Each Term of A.P.

199

Sum/Difference of Two A.P.'s

307

Multiplied or Divide of Two A.P.'s

188

Summary and Practice

91

Summary and Practice

45

Reciprocal Property

206

Multiplication Division Property

186

Terms Selected at Intervals

236

Equidistant Terms

250

Raising to Power

105

Logarithmic Property

338

Basic Relation Between Three Consecutive Terms of a G.P.

180

Basic Relation Between Three Consecutive Terms of a G.P.

226

Manipulating 2 G.P.s

182

Summary and Practice

91

Summary and Practice

66

Inequality Relation Between AM, GM and HM

363

Inequality Relation Between AM, GM and HM

357

AM,GM and HM are in GP

72

AM and GM to build Quadratic Equation

193

A-G relation to find positive numbers

130

A-G relation to find positive numbers

291

Summary and Practice

60

Summary and Practice

48

AM, GM HM and Cubic Equation

262

AM, GM HM and Cubic Equation

126

Introduction to Sigma Notation

221

Properties of Sigma Notation

89

Properties of Sigma Notation

71

Distributive Laws of Sigma Notation

598

Distributive Laws of Sigma Notation

282

Theorems on Sigma Operator

471

Theorems on Sigma Operator

127

Theorems on Sigma Operator

110

Introduction to Pi Operator

161

Properties of Pi Operator

369

Properties of Pi Operator

93

Properties of Pi Operator

75

Summary and Practice

48

Summary and Practice

26

Summary and Practice

46

Sum of First n Natural Numbers

345

Sum of First n Natural Numbers

56

Sum of First n Natural Numbers

138

Sum of First n Odd Natural Numbers

60

Sum of First n Odd Natural Numbers

64

Sum of First n Even Natural Numbers

174

Sum of First n Even Natural Numbers

62

Sum of Squares of First n Natural Numbers

446

Sum of Squares of First n Natural Numbers

73

Sum of Cubes of First n Natural Numbers

319

Sum of Squares of First n Natural Numbers

319

Summary and Practice

23

Summary and Practice

90

Application of AM and GM to find Maxima

256

Sum of Finite Terms of AGS

273

Sum of Finite Terms of AGS

273

Sum of Infinite Terms of AGS

115

Sum of Infinite Terms of AGS

199

Practice Node: Arithmetico-Geometric Series

52

Application of AM and GM to find Maxima

257

Application of AM and GM to find Maxima

125

Application of AM and GM to find Minima

108

Application of AM and GM to find Minima

153

Application of AM and GM to find Minima

253

Application of AM and GM to find Minima

150

Summary and Practice

76

Insertion of Single Arithmetic Mean between 2 Numbers0

166

Insertion of n Arithmetic Means Between 2 Numbers

295

Properties of Arithmetic Means

196

Practice: Arithmetic Mean

68

Common Difference When Sum of Terms of an A.P. is Given

345

Common Difference When Sum of Terms of an A.P. is Given

296

Ratio of Terms When Sum of 2 Different A.P. is Given

138

Ratio of Terms When Sum of 2 Different A.P. is Given

442

Ratio of Series When term of 2 Different A.P. is Given

401

Ratio of Series When term of 2 Different A.P. is Given

284

Practice: Sum of n Terms of an A.P.

68

Method of Subtraction/Difference

203

Method of Subtraction/Difference

270

Method of Subtraction/Difference

161

Summary and Practice

71

Vn Method for Denominator

597

Vn Method for Denominator

339

Vn Method for Denominator

282

Vn Method for Denominator

309

Vn Method for Numerator

333

Vn Method for Numerator

280

Vn Method for Numerator

448

Some Important Results

227

Summary and Practice

132

Summary and Practice

118

Introduction to Exponential Series and range of e

288

Exponential Series and other result

525

Exponential Series and other result

64

Exponential Series and other result

63

Exponential Series and other result

269

Summary and Practice: Some Special Series

101

Logarithmic Series

315

Logarithmic Series

88

Logarithmic Series

68

Summary and Practice: Some Special Series

76

Introduction to General Method of Special Series

116

kth Order Differences are equal

261

kth Order Differences are equal

345

kth Order Differences are equal

135

kth Order Differences Forms G.P.

48

kth Order Differences Forms G.P.

189

Practice: General Term by Shortcut

78

Single Geometric Means Between Two Numbers

222

Single Geometric Means Between Two Numbers

160

Properties of Geometric Mean Between 2 Numbers

190

Summary and Practice

72

979437

261

1579190

238

1078428

201

1575948

387

1575609

211

1113260

373

1125035

401

1126780

544

1134111

440

1231480

107

1231485

382

1231488

146

1231499

327

1231503

248

1231508

330

1231511

218

1231521

372

2809146

378

2844207

378

1231737

170

1231741

120

1233062

127

1233063

231

1233064

260

1233080

313

1233081

256

1233082

220

1233083

236

1233084

272

1233095

191

1233096

208

1233097

221

1233098

220

1233099

194

1233102

206

1233103

195

1233104

208

1233109

290

1233110

248

1233112

180

1233113

249

1233114

325

2809112

267

1233222

366

1233225

318

1233227

244

1233229

311

2795499

158

2809456

158

1233280

161

1233294

241

1233298

182

1233300

199

1233301

183

1233302

281

1233309

264

1234388

189

1234389

177

1234392

118

1234393

195

1234394

303

1234395

174

1234396

378

1234504

156

1234505

196

1234507

100

1234565

238

1234567

419

1234568

319

2795547

180

2844201

180

2865889

232

1237019

248

1238726

135

1238727

141

1238728

343

1238729

400

1238730

349

1238731

281

1238732

538

1238733

324

2865877

273

2871747

353

1238736

216

1238737

150

1238738

97

1238739

179

1238740

249

1238741

312

1238742

147

1238743

223

1238744

159

1238746

124

1238747

127

1238748

237

1238749

365

1238750

219

1238751

370

1238752

243

3047117

128

2865917

351

2865883

172

2871756

258

2865932

262

3047142

254

2849694

521

3047272

359

1242097

324

1242099

322

1242117

250

2867084

251

1242184

431

1242252

266

1242274

493

1242305

512

1242341

460

1242402

385

1242406

612

2867031

173

2849718

252

3047343

236

1242588

486

1243289

264

2844200

209

1243425

424

1243431

333

1243432

332

3047309

364

2849720

326

1243469

367

3047394

399

1246866

355

1246868

564

1246870

286

1246873

171

1246875

453

3029579

199

1253013

159

1253015

192

1253016

171

1253017

254

1253018

144

1253019

210

1253020

344

2865913

252

1253022

342

Summary and Practice - II

49

Sum of First n Even Natural Numbers

64