Question

what is the nth term of an AP 17,12,7,2

Answer 1

Answer:

22-5n

Step-by-step explanation:

An=a+(n-1)d

=17+(n-1)(-5)

=17-5n+5

=22+5n

Please do mark as brainliest.

Answer 2

Given:

• An A.P = 17,12,7,2

To Find:

• The value of the nth term of the given AP.

Solution:

The general form of an AP is a+(n-1)d. In the given AP, a = 17, a+d = 12, a+2d = 7 and so on.

Let, $t_n$ = a+(n-1)d → {equation 1}

First, we need to find the value of "d" since it should be substituted in equation 1.

Consider, a+d = 12

Substitute the value of "a = 17" in the above formula. We get,

d = 12-17  = -5

Substitute the obtained values in equation 1. We get,

$t_n$ = 17+(n-1)(-5) = 17+(-5n+5)

In the above step, we solve for the values in the bracket first by multiplying and then adding them to get the value of the nth term.

$t_n$ = 17 -5n + 5 = 22-5n

∴ The value of the nth term of the given AP = 22-5n.