Question Bank • QB_EXP_GA_ALG_002 NAT • 1 Mark

Section 8: General Aptitude

Quantitative: Algebra, Functions & Progressions

Subtopic: Sum of geometric progression series

Question Statement:

For a geometric progression with first term $a = 2$ and common ratio $r = 3$, the sum of the first $5$ terms is ________.

Answer Key:

242

Step-by-Step Solution & Explanation

The sum of a geometric series is: $S_n = \frac{a (r^n - 1)}{r - 1}$ For $a = 2$, $r = 3$, $n = 5$ ($3^5 = 243$): $S_5 = \frac{2 (243 - 1)}{3 - 1} = \frac{2 \times 242}{2} = 242$
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