Question

Find the indicated term of each arithmetic sequence.

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

Short answer

The indicated term of the arithmetic sequence is94.

Step-by-step solution

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.