Multiple choice

What is the next term in the given series? 35, 24, 15, 8, ?

  1. 3

  2. 7

  3. 6

  4. 5
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A Correct answer
Explanation

The series follows the pattern of squares of consecutive natural numbers in decreasing order, then subtracting consecutive triangular numbers. 35 = 6² - 1, 24 = 6² - 12, 15 = 6² - 21, 8 = 6² - 28. The pattern of subtrahends (1, 12, 21, 28, 33) are related to consecutive triangular numbers. The next term is 6² - 33 = 36 - 33 = 3.

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