Lesson eLearning

What is the 12th term of the pattern 3, 8, 15, 24, 35, 48, ...?

hard MCQ 5 marks Class 5 · Mathematics · Can You See the Pattern
  1. 168
  2. 156
  3. 180
  4. 192
Answer
168

The correct answer is 168 — For n = 12, compute 12 × (12 + 2) = 12 × 14 = 168.

Step-by-step solution

  1. Observe the differences: 5, 7, 9, 11, 13, ... which increase by 2 each time.
  2. Conclude that nth term = n(n+2).
  3. For n = 12, compute 12 × (12 + 2) = 12 × 14 = 168.
Common mistake: Adding consecutive odd numbers incorrectly or using wrong formula

Concept tested: Pattern n(n+2)

Published · How this solution was prepared and checked

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