Question

0,-2,-4,-6,-8,-10 nth term

Answer 1

Answer:

The nth term of this sequence is $a_{n} = -2n + 2$

Step-by-step explanation:

In this sequence we keep adding -2 on to get the next term. This sequence is called an arithmetic sequence, a sequence that uses addition to keep increasing.

The formula for the nth term of an arithmetic sequence is

$a_{n} = d$ · $n + a_{1} - d$

$a_{1}$ stands for the first term in the sequence, and $d$ stands for the difference between each number in the sequence.

$a_{1} = 0$ and $d$ = -2, so :

$a_{n} = -2$ · $n + 0 - (-2)$

$a_{n} = -2n + 2$

Therefore, to find the nth term in this sequence you would use the formula

$a_{n} = -2n + 2$