Question

Find the indicated term in each arithmetic sequence.

$100$th term of$2,4,6,.....$

Short answer

The solution is$200$.

Step-by-step solution

Step 1. Given information 

Arithmetic sequence:$2,4,6,....$

Step 2. Calculation 

The first term of the arithmetic sequence is $a_1=2$, and the common difference is$d=2$.

Now, the $100$th term is -

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

role="math" localid="1648710235562" $a_{100}=2+\left(100-1\right)2$

$=2+198$

$=200$