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📐 Mathematics  ·  Sequences and Series  ·  JEE

Find the number of terms in AP: 5, 9, 13,..., 49

Answer: 12.

  • A 10
  • B 11
  • C 12
  • D 13

Correct answer: C. 12

Explanation: an = a + (n-1)d. 49 = 5 + (n-1)4, 44 = (n-1)4, n-1 = 11, n = 12.

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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