Direction: What will come in place of the question mark (?) in the following…

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Direction: What will come in place of the question mark (?) in the following number series?

13, 14, 30, 93, 376, 1885, ?

  1. A.

    10818

  2. B.

    10316

  3. C.

    11316

  4. D.

    11318

Attempted by 825 students.

Show answer & explanation

Correct answer: C

Answer: 11316

Explanation / Solution:

Pattern: each term is obtained by multiplying the previous term by n and then adding n, where n starts at 1 for the step from the first to the second term and increases by 1 each step.

  1. Step 1: 13 × 1 + 1 = 14

  2. Step 2: 14 × 2 + 2 = 30

  3. Step 3: 30 × 3 + 3 = 93

  4. Step 4: 93 × 4 + 4 = 376

  5. Step 5: 376 × 5 + 5 = 1885

  6. Step 6: 1885 × 6 + 6 = 11316

Therefore the missing number is 11316.

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