Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
0, 1, 4, 15, ?, 325, 1956
Option 1: 60
Option 2: 64
Option 3: 75
Option 4: 80
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Correct Answer: 64
Solution :
Given:
0, 1, 4, 15, ?, 325, 1956
Multiply and add consecutive natural numbers from 1 onwards to each term to get the next term of the series.
(0 × 1) + 1 = 0 + 1 = 1;
(1 × 2) + 2 = 2 + 2 = 4;
(4 × 3) + 3 = 12 + 3 = 15;
(15 × 4) + 4 = 60 + 4 = 64;
(64 × 5) + 5 = 320 + 5 = 325;
(325 × 6) + 6 = 1950 + 6 = 1956
So, the missing number is 64. Hence, the second option is correct.
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