Multiple choice

What will be the next term of given series? 1, 4, 10, 19, 31, 46, ?

  1. 64

  2. 61

  3. 58

  4. 55
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A Correct answer
Explanation

The differences between consecutive terms are: 4-1=3, 10-4=6, 19-10=9, 31-19=12, 46-31=15. The differences are multiples of 3. The next difference should be 18. 46 + 18 = 64.

AI explanation

Using the method of successive differences, the first level gaps are 4 - 1 = 3, 10 - 4 = 6, 19 - 10 = 9, 31 - 19 = 12 and 46 - 31 = 15. These gaps increase by 3 each time, making the next gap 15 + 3 = 18. Adding this gap of 18 to the last term 46 gives the next term, which is 46 + 18 = 64. The result is 64.

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