Multiple choice

Find the 50th term of the given sequence. 5, 7, 11, 17, …

  1. 2541

  2. 2455

  3. 2362

  4. 2246
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B Correct answer
Explanation

Sequence: 5, 7, 11, 17... Differences: 2, 4, 6... The n-th term is 5 + sum of first (n-1) even numbers = 5 + (n-1)n = n^2 - n + 5. For n=50: 50^2 - 50 + 5 = 2500 - 50 + 5 = 2455.

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