Question

find common difference of AP if A = 100 and t = 176​

Answer 1

Step-by-step explanation:

Given that:

In Arithmetic progression a= 100 and 20th term=176.

To find:

The common difference of an A.P.

We have,

First term of an A.P. is a=100.

20th term=176

Formula of the A.P.

nth term= an=a+(n-1)d

So,

20th term= 100+(20-1)d=176

⇒ 100+(19)d=176

⇒ 100+19d=176

⇒ 19d=176-100

⇒ 19d= 76

⇒ d= 4