Question

in an ap the common difference d,the seventh term a7(154) than find the first term

Answer 1

Solution :-

Let the first term of the given AP be 'a'

Common difference = d

7th term or a7 = 154 (given)

an = a + (n - 1) d

⇒ 154 = a + (7 - 1)d

⇒ a + 6d = 154

⇒ a = 154 - 6d

So. the first term is 154 - 6d

Answer.

Answer 2

The first term value is (154-6d).

Given

To find the first term.

A.P common difference is d.  

$7^t^h$ term is $a_7$ is 154.

A.P = a, a+d, a+2d,......, a+(n-1)d

Here, a is the first term.

n = 7

$a_7$ = a + (n-1)×d

154 = a + (7-1) × d

154 = a + 6d

a + 6d = 154

a = 154 - 6d  ( If "d" value is known then substitute it ).

Therefore, first term value is (154-6d).

To learn more...

1. brainly.in/question/3103199

2. brainly.in/question/3096992