Question

Find an equation for the nth term of the arithmetic sequence. -17, -14, -11, -8, ...

A. an = -17 + 3(n - 1)
B. an = -17 x 3(n - 1)
C. an = -17 + 3(n + 1)
D. an = -17 + 3(n + 2)

Answer 1

Common difference (d) = - 14-(-17)

d = -14+17
d = 3...

Tn = -17+(n-1)3

Tn = - 17+3(n-1)

Option a is correct.....

Answer 2

Answer:
`a_n=-17+3(n-1)`

Explanation:

Given : Arithmetic sequence : -17, -14, -11, -8, ...

Here the first term ,
`a_1=-17`

Common difference :
`d=-14-(-17)=3`

The formula to find the nth term is given by :-

`a_n=a_1+d(n-1)`

i.e.
`a_n=-17+3(n-1)`

Hence, the equation for the nth term of the arithmetic sequence :-

`a_n=-17+3(n-1)`