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📐 Mathematics  ·  Sequences and Series  ·  JEE

In AP 7, 13, 19,..., which term is 61?

Answer: 10th.

  • A 8th
  • B 9th
  • C 10th
  • D 11th

Correct answer: C. 10th

Explanation: 61 = 7 + (n-1)6, 54 = (n-1)6, n-1 = 9, n = 10. So 61 is the 10th term.

Each bar grows by the common difference d=3a1=2a2=5a3=8a4=11d=3

Bar heights for AP 2, 5, 8, 11 with the common difference d=3 marked between consecutive terms.

Concept context

Arithmetic progressions, geometric progressions, and sums

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