Question

The explicit formula for an arithmetic sequence is an = 20 + (n − 1)(2). What is the 200th term?

Answer 1

Answer:

$a_{200}=418$

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by :

$a_n=20+(n-1)2$ ...(1)

We need to find the 200th term of the sequence.

Put n = 200 in equation (1)

$a_{200}=20+(200-1)2\\\\=20+199\times 2\\\\=418$

So, the 200th term of the sequence is 418.