Question

Given the sequence 7, 12, 17, 22, ...

Answer 1

Answer:

option D is true.

Step-by-step explanation:

Given the sequence

7, 12, 17, 22, ...

An arithmetic sequence has a constant difference 'd' and is defined by

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

Computing the differences of all the adjacent terms

$12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5$

The difference between all the adjacent terms is the same

so

$d=5$

as

$a_1=7$

Thus, the nth term of the arithmetic sequence will be:

$a_n=5\left(n-1\right)+7$

$a_n=5n+2$

Therefore, option D is true.