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📐 Mathematics  ·  Sequences and Series  ·  JEE

The sum to infinity of a GP with first term 1 and r = 1/2 is:

Answer: 2.

  • A 1
  • B 1.5
  • C 2
  • D 2.5

Correct answer: C. 2

Explanation: S infinity = a/(1-r) = 1/(1-1/2) = 1/(1/2) = 2. Valid when |r| < 1.

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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