Which of the following equations should be solved to find the position of the term in…

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Which of the following equations should be solved to find the position nn of the term 6868 in the arithmetic progression 5, 8, 11,…5,\,8,\,11,\dots? (a) 5+3n=685 + 3n = 68 (b) 5+(n+1)×3=685 + (n+1)\times 3 = 68 (c) 5+(n−1)×3=685 + (n-1)\times 3 = 68 (d) 68=5(n−1)+368 = 5(n-1) + 3

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