Question

If n is a term of the sequence 14, 8, 2, -4, …, which expression would you give the value of n?

A) -6n + 14
B) -4n + 18
C) 3n + 11
D) -6n + 20

Answer 1

-6n+20

Explanation:

The given term of sequece is 14, 8, 2, -4, …,

Here the first term is 14 and then the terms are decreasing by 6 each time because
`14-8=8-2=...=6`

As we know that the nth term of the sequence is given by the formula

`t_n=a+(n-1)d\\\text{Substitute the values we get}\\t_n=14+(n-1)(-6)\\t_n=14-6n+6\\t_n=20-6n\\`

If n is a term of the given sequence sequence, then its value is -6n+20