Multiple choice

Find the next term in the series. (71, 96, 145, 226, 347, ?)

  1. $455$
  2. $346$
  3. $516$
  4. $404$
  5. $374$
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C Correct answer
Explanation

The differences between consecutive terms are 25, 49, 81, 121. These are perfect squares: 5², 7², 9², 11² - the squares of consecutive odd numbers starting from 5. The next difference should be 13²=169. Adding this to the last term: 347+169=516. Option A (455), B (346), D (404), and E (374) don't follow this pattern.

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