Question

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

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: $a_n=-17+3(n-1)$

Step-by-step 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 :-

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