Question

How do you find the last term of an arithmetic progression $?$

Answer 1

Finding the last term of the arithmetic progression:

The last term of an arithmetic progression can be found when the first term and sum of the arithmetic progression is given,

We know that the sum is given as:

$\mathit{S}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{n}}{\mathbf{2}}\mathbf{(}$first term $+$last term $)$

Substituting the values of $S,$ first term, and $n^{th}$ term, the last term can be obtained.

Hence, in this way we can find the last term of an arithmetic progression.