Which number will replace the question mark (?) in the following series? 14,…

2019

Which number will replace the question mark (?) in the following series? 14, 15, 19, 46, 62, ?

Answer: B. 187Pattern: each term is obtained by adding successive powers to the previous term (the differences are 1^1, 2^2, 3^3, 4^2, 5^3). Step 1: 14 + 1^1 = 14 + 1 = 15…

  1. A.

    185

  2. B.

    187

  3. C.

    183

  4. D.

    181

Attempted by 122 students.

Show answer & explanation

Correct answer: B

Pattern: each term is obtained by adding successive powers to the previous term (the differences are 1^1, 2^2, 3^3, 4^2, 5^3).

  • Step 1: 14 + 1^1 = 14 + 1 = 15

  • Step 2: 15 + 2^2 = 15 + 4 = 19

  • Step 3: 19 + 3^3 = 19 + 27 = 46

  • Step 4: 46 + 4^2 = 46 + 16 = 62

  • Step 5: 62 + 5^3 = 62 + 125 = 187

Answer: 187

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