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CAT 2023 Slot 2 QA Question 22

Type-in-the-answer (no negative marking) · Algebra · Progression & Series · Try it, then check the answer and solution below.

CAT 2023 Slot 2QAAlgebra • Progression & SeriesModerate
Let ana_n and bnb_n be two sequences such that an=13+6(n−1)a_n = 13 + 6 (n - 1) and bn=15+7(n−1)b_n = 15 + 7 (n - 1) for all natural numbers nn. Then, the largest three digit integer that is common to both these sequences, is
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Answer and solution

Answer: 967

📌 Core Concept & Formula
To find the largest three-digit integer common to both arithmetic sequences ana_n and $b_n , we can use the concept of Common Terms in Arithmetic Progressions. If two arithmetic sequences have a common term, the common terms form another arithmetic progression with a common

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