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Mathematics · JEE | SEQUENCES AND SERIES

हिन्दी

The sum of the first \( n \) terms of a G.P. with first term \( a \) and common ratio \( r \) (\( r \neq 1 \)) is given by:

  1. A
    \( \frac{ar^n}{1-r} \)
  2. B
    \( \frac{a(r^n-1)}{1-r} \)
  3. C
    \( \frac{a(1-r^{n-1})}{1-r} \)
  4. D
    \( \frac{a(1-r^n)}{1-r} \)
View Answer & Solution

Correct answer · Option D

\( \frac{a(1-r^n)}{1-r} \)

Explanation

The sum formula for a G.P. when \( r \neq 1 \) is \( S_n = \frac{a(1-r^n)}{1-r} \).
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