Question

In an AP , if the common difference= -4,seventh term is -4 find the first term

Answer 1

refer the attached pic for the solution!

Answer 2

Answer:

The first term of A.P is 20.

Step-by-step explanation:

Given that-

Common difference of A.P = -4

7th term of A.P = -4

First term of A.P = ?

We know that-

The nth term of A.P-

$T_{n} = [a+(n-1)d]$

Where a = first term of A.P.

n = nth term of A.P.

d = common difference

So, 7th term of A.P.-

(-4) = a + (7 - 1)×(-4)

-4 = a + 6×(-4)

-4 = a -24

a = -4+24

a = 20

Hence, the first term of A.P is 20.