Q9. - Algebra 2

Question

Find the indicated term of each arithmetic sequence.

$a_1=3,d=-5,n=24$

Step-by-Step Solution

Answer

The indicated term of the arithmetic sequence is 94.

Step 1. Given Information.

Given indicated term of arithmetic sequence is  $a_1=3,d=7,n=14$

Step 2. Calculation .

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

Here the first term is  $a_1=3$

The common difference is  $d=7$

And the required term is  $n=14$

 Plugging the values in the formula:

$\begin{array}{l}{a}_n=a_1+(n-1)d\\ a_{14}=3+(14-1)\left(7\right)\\ a_{14}=3+\left(13\right)\left(7\right)\\ a_{14}=3+91\\ a_{14}=94\end{array}$

Step 3. Conclusion .

Hence, the indicated term of the arithmetic sequence is 94.