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CAT Sequences & Series (AP/GP) Questions with Answers & Explanations

16 Sequences & Series (AP/GP) questions from the Quantitative Ability section of CAT, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

Question 1

What is the sum of the first 11 terms of the AP: 17, 19, 21, …?

  1. A297
  2. B209
  3. C280
  4. D319
Show answer
Answer: (A) 297 Sβ‚™ = n/2 [2a + (n βˆ’ 1)d] = 297.
Question 2

What is the sum of the first 6 terms of the GP: 4, 12, 36, …?

  1. A1452
  2. B1456
  3. C2916
  4. D2428
Show answer
Answer: (B) 1456 Sβ‚™ = a(rⁿ βˆ’ 1)/(r βˆ’ 1) = 1456.
Question 3

What is the 21st term of the AP: 1, 8, 15, …?

  1. A134
  2. B155
  3. C141
  4. D148
Show answer
Answer: (C) 141 aβ‚™ = a + (n βˆ’ 1)d = 1 + 20 Γ— 7 = 141.
Question 4

What is the sum of the first 6 terms of the GP: 1, 2, 4, …?

  1. A63
  2. B62
  3. C95
  4. D64
Show answer
Answer: (A) 63 Sβ‚™ = a(rⁿ βˆ’ 1)/(r βˆ’ 1) = 63.
Question 5

What is the 13th term of the AP: 19, 21, 23, …?

  1. A41
  2. B43
  3. C47
  4. D45
Show answer
Answer: (B) 43 aβ‚™ = a + (n βˆ’ 1)d = 19 + 12 Γ— 2 = 43.
Question 6

What is the sum of the first 5 terms of the GP: 1, 2, 4, …?

  1. A30
  2. B47
  3. C31
  4. D32
Show answer
Answer: (C) 31 Sβ‚™ = a(rⁿ βˆ’ 1)/(r βˆ’ 1) = 31.
Question 7

What is the 12th term of the AP: 8, 17, 26, …?

  1. A116
  2. B98
  3. C107
  4. D125
Show answer
Answer: (C) 107 aβ‚™ = a + (n βˆ’ 1)d = 8 + 11 Γ— 9 = 107.
Question 8

What is the sum of the first 6 terms of the GP: 4, 8, 16, …?

  1. A380
  2. B256
  3. C248
  4. D252
Show answer
Answer: (D) 252 Sβ‚™ = a(rⁿ βˆ’ 1)/(r βˆ’ 1) = 252.
Question 9

What is the sum of the first 26 terms of the AP: 2, 6, 10, …?

  1. A1350
  2. B1352
  3. C1456
  4. D156
Show answer
Answer: (B) 1352 Sβ‚™ = n/2 [2a + (n βˆ’ 1)d] = 1352.
Question 10

What is the sum of the first 5 terms of the GP: 5, 15, 45, …?

  1. A1215
  2. B605
  3. C600
  4. D1010
Show answer
Answer: (B) 605 Sβ‚™ = a(rⁿ βˆ’ 1)/(r βˆ’ 1) = 605.

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Question 11

What is the sum of the first 21 terms of the AP: 3, 9, 15, …?

  1. A1449
  2. B189
  3. C1320
  4. D1323
Show answer
Answer: (D) 1323 Sβ‚™ = n/2 [2a + (n βˆ’ 1)d] = 1323.
Question 12

What is the sum of the first 5 terms of the GP: 3, 9, 27, …?

  1. A360
  2. B363
  3. C606
  4. D729
Show answer
Answer: (B) 363 Sβ‚™ = a(rⁿ βˆ’ 1)/(r βˆ’ 1) = 363.
Question 13

What is the sum of the first 23 terms of the AP: 16, 23, 30, …?

  1. A2139
  2. B2300
  3. C529
  4. D2123
Show answer
Answer: (A) 2139 Sβ‚™ = n/2 [2a + (n βˆ’ 1)d] = 2139.
Question 14

What is the sum of the first 5 terms of the GP: 5, 10, 20, …?

  1. A150
  2. B235
  3. C160
  4. D155
Show answer
Answer: (D) 155 Sβ‚™ = a(rⁿ βˆ’ 1)/(r βˆ’ 1) = 155.
Question 15

What is the sum of the first 28 terms of the AP: 15, 21, 27, …?

  1. A2688
  2. B588
  3. C2856
  4. D2673
Show answer
Answer: (A) 2688 Sβ‚™ = n/2 [2a + (n βˆ’ 1)d] = 2688.
Question 16

What is the 26th term of the AP: 6, 11, 16, …?

  1. A131
  2. B141
  3. C126
  4. D136
Show answer
Answer: (A) 131 aβ‚™ = a + (n βˆ’ 1)d = 6 + 25 Γ— 5 = 131.

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