QUESTION

CSAT

Hard

Maths

Prelims 2024

What is the sum of the first 28 terms in the following sequence? 1, 1, 2, 1, 3, 2, 1, 4, 3, 2, 1, 5, 4, 3, 2,......

Select an option to attempt

Explanation

The first 28 terms contain these groups:

  1. First group: 1 term (11)
  2. Second group: 2 terms (1,21, 2)
  3. Third group: 3 terms (3,2,13, 2, 1)
  4. Fourth group: 4 terms (4,3,2,14, 3, 2, 1)
  5. Fifth group: 5 terms (5,4,3,2,15, 4, 3, 2, 1)
  6. sixth group: 6 terms (6,5,4,3,2,16, 5, 4, 3, 2, 1)
  7. seventh group: 7 terms (7,6,5,4,3,2,17, 6, 5, 4, 3, 2, 1)

Counting up to the 28th term, we find the sum of these terms is 84.

Answer: (B) 84

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