If the first term of an A.P is twice the common difference and its fourth term is 5. Find the common difference.

Question

If the first term of an A.P is twice the common difference and its fourth term are 5. Find the common difference.

Answer 1

The common difference is 1.

Explanation:

Let the first term of AP is 'a' and its common difference is 'd'.
As per the question a = 2d 

As we already know that a_n = a + (n-1)d
a₄ = a + (4 - 1)d
5 = 2d + 3d
5d = 5
d = 1

Hence, common difference is given by 1.