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MioMath 2024 Paper 2 · Q2

Paper 2Logic & proofSequences & series

An arithmetic sequence (Sn)(S_n) is defined by its first term a1a_1, number of terms nn, and common difference dd.

Consider the following statement: “If a1a_1 is odd, then all terms SnS_n are odd.” Identify a counterexample for this statement from the options below.

Aa1=2,d=2,n=20a_1=2,d=2,n=20
Ba1=1,d=3,n=10a_1=1,d=3,n=10
Ca1=3,d=6,n=30a_1=3,d=6,n=30
Da1=5,d=4,n=15a_1=5,d=4,n=15
Ea1=4,d=5,n=8a_1=4,d=5,n=8

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