CAT 2025 Progression Question (Hard)

Question

In an arithmetic progression, if the sum of fourth, seventh and tenth terms is 99, and the sum of the first fourteen terms is 497, then the sum of first five terms is

Accepted Answer

Let the first term of the arithmetic progression be a, and the common difference be d. We have a 3d a 6d a 9d 99 Rightarrow 3a 18d 99 or a 6d 33 ..... 1 We are also told that the sum of the first fourteen terms is 497, 2 2a 14-1 d 497 Rightarrow 2a 13d 7 Rightarrow 2a 13d 71 ..... 2 Solving equation

CAT 2025

Quantitative

Progression

Hard

In an arithmetic progression, if the sum of fourth, seventh and tenth terms is 99, and the sum of the first fourteen terms is 497, then the sum of first five terms is

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