Question

Find the indicated term of each arithmetic sequence.

$a_1=-4,d=-9,n=20$

Short answer

The indicated term of the arithmetic sequence is-175.

Step-by-step solution

Step 1. Given Information.

Given indicated term of arithmetic sequence is $a_1=-4,d=-9,n=20$

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 $a_1=-4$

The common difference is $d=-9$

And the required term is $n=20$

Plugging the values in the formula:

$\begin{array}{l}{a}_n=a_1+(n-1)d\\ a_{20}=-4+(20-1)(-9)\\ a_{20}=-4+\left(19\right)(-9)\\ a_{20}=-4-171\\ a_{20}=-175\end{array}$

Step 3. Conclusion.

Hence, the indicated term of the arithmetic sequence is -175.