CAT 2025 Slot 2 QA Question 3

Multiple choice (+3 / −1) · Algebra · Progression & Series · Try it, then check the answer and solution below.

CAT 2025 Slot 2QAAlgebra • Progression & SeriesModerate

Let

a_n

be the

n^{th}

term of a decreasing infinite geometric progression. If

a_1+a_2+a_3 = 52

and $a_1a_2+a_2a_3+a_3a_1 = 624 , then the sum of this geometric progression is

⌨️ Shortcuts:[1-4 / A-D] Select[Enter] Check[B] Star[S] Solution

Official Convenor Answer Key: C

Answer and solution

Answer: C) 54

📌 Core Concept & Formula

For an infinite geometric progression with first term

a

and common ratio

r

(where|r| < 1), the sum

S

is given by:

S = \frac{a}{1 - r}

🔢 Step-by-Step Solution

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