In an AP, the first term is 4 and the 7th term is 34. What is the common difference?

Step-by-step solution

1. The $n^{\text{th}}$ term formula is $a_n=a+(n-1)d$.
2. Set $a=4$, $a_7=34$, $n=7$: $34=4+(7-1)d$.
3. Simplify: $34=4+6d\Rightarrow 6d=30\Rightarrow d=5$.
4. Hence the common difference is 5.

Concept tested: finding common difference from two terms

Published 28 September 2026 · How this solution was prepared and checked

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