Q10. - Algebra 2

Question

Find the indicated term of each arithmetic sequence.

$a_1=-5,d=7,n=13$

Step-by-Step Solution

Answer

The indicated term of the arithmetic sequence is 79.

Step 1. Given Information.

Given indicated term of arithmetic sequence is$a_1=-5,d=7,n=13$  

Step 2. Calculation .

The n^th term of an arithmetic sequence is given by $a_n=a_1+(n-1)d$ .

 Here the first term is  $a_1=-5$

The common difference is  $d=7$

And the required term is  $n=13$

 Plugging the values in the formula:

$\begin{array}{l}{a}_n=a_1+(n-1)d\\ a_{13}=-5+(13-1)\left(7\right)\\ a_{13}=-5+\left(12\right)\left(7\right)\\ a_{13}=-5+84\\ a_{13}=79\end{array}$

Step 3. Conclusion .

Hence, the indicated term of the arithmetic sequence is 79.