Question

Find the indicated term in each arithmetic sequence.
$80$th term of$5,0,-5,....$

Short answer

The solution is$-390$.

Step-by-step solution

Step 1. Given information 

Arithmetic sequence:$5,0,-5,....$

Step 2. Calculation 

The first term of the arithmetic sequence is $a_1=5$, and the common difference is$d=-5$.

Now, the $80$th term is -

$a_n=a_1+\left(n-1\right)d$

role="math" localid="1648710826608" $a_{80}=5+\left(80-1\right)\left(-5\right)$

$=5+\left(-395\right)$

$=-390$