Find the $8^{\text{th}}$ term of the arithmetic progression whose first term is $12$ and common difference is $-2$.

Step-by-step solution

1. Write the formula for the $n^{\text{th}}$ term: $a_n=a+(n-1)d$.
2. Substitute $a=12$, $d=-2$ and $n=8$ into the formula.
3. Calculate: $a_8=12+(8-1)(-2)=12+7(-2)=12-14=-2$.

Concept tested: nth term of AP

Published 21 August 2026 · How this solution was prepared and checked

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