CAT 2023 Progression Question (Medium)

Question

Let and be two sequences for natural numbers . Then, the sum of all terms common to both the sequences is

Accepted Answer

Step 1 We are given two sequences for natural numbers We need to find the sum of all terms common to both sequences within these bounds. Step 2 Assume a common term exists Rewriting To ensure is natural, Try So the first common term is Step 3 Common difference of is , and of is So common terms will

CAT 2023

Quantitative

Progression

Medium

Let $a_n=46+8 n$ and $b_n=98+4 n$ be two sequences for natural numbers $n \leq 100$ . Then, the sum of all terms common to both the sequences is

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