JEE Mathematics · Easy

Sequences and Series: GP Sum MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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GP SumEasyQuestion 210014

Question

The sum of first n terms of a GP with first term a and ratio r (r ≠ 1) is:
  1. A
    a(rⁿ − 1)/(r − 1)
    Correct
  2. B
    a(rⁿ + 1)/(r + 1)
  3. C
    naʳ
  4. D
    a/(1 − r)

Correct answer

a(rⁿ − 1)/(r − 1)

Explanation

GP sum formula: Sₙ = a(rⁿ − 1)/(r − 1) for r > 1, or equivalently a(1 − rⁿ)/(1 − r) for r < 1.