Question

Nth term of this sequence please 18, 16, 14, 12

Answer 1

Answer:

$\boxed{\sf -2n+20}$

Step-by-step explanation:

Let’s find the common difference.

The common difference can be found by subtracting a term in the sequence with the previous term.

$\sf d=16-18\\d=-2$

Apply formula for the $\sf n^{th}$ term of an arithmetic sequence.

$\sf a_n=a_1+dn-d$

$\sf a_1$ is the first term of the sequence.

$\sf d$ is the common difference.

$\sf a_n=18+-2n-(-2)$

$\sf a_n=18+-2n+2$

$\sf a_n=-2n+20$