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In the pattern 2, 5, 10, 17, 26, 37, ... what is the 10th term?

hard 3 marks Class 5 · Mathematics · Can You See the Pattern
Answer
101

The correct answer is 101 — Compute 10^2 + 1 = 100 + 1 = 101.

Step-by-step solution

  1. Notice that each term equals n^2 + 1 where n starts at 1.
  2. Set n = 10 for the 10th term.
  3. Compute 10^2 + 1 = 100 + 1 = 101.
Common mistake: Misinterpreting the pattern as n² - 1 or forgetting the +1

Concept tested: Pattern n² + 1

Published · How this solution was prepared and checked

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