Mathematics

Mathematics

Problem

Two arithmetic progressions are given as follows: AP–1: first term 77, common difference 33 AP–2: first term 44, common difference 55 Which of the following expressions represents the nnth term of AP–2? a) 5+(n−1)45 + (n - 1)4 b) 4+(n−1)54 + (n - 1)5 c) 4+5n4 + 5n d) 4+(n−1)34 + (n - 1)3
Intuitive explanation

The nnth term formula for any arithmetic progression is a linear expression in nn. For AP–2, you need to plug in the given first term and common difference into the standard formula an=a1+(n−1)da_n = a_1 + (n-1)d. This will give you a clean algebraic expression that works for any position nn in the sequence.

Intuitive explanation

The nnth term formula for any arithmetic progression is a linear expression in nn. For AP–2, you need to plug in the given first term and common difference into the standard formula an=a1+(n−1)da_n = a_1 + (n-1)d. This will give you a clean algebraic expression that works for any position nn in the sequence.

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