7 th term and 14 th term of an Arithmetic sequence are 36 and 64 respectively , find the common difference and ,25th term

(a) The common difference is 4

(b) The 25th term is 108

Step-by-step explanation:

Given

Solving (a): The common difference

The nth term of an AP is:

For the 7th term, we have:

For the 14th term, we have:

Subtract both equations

Divide by 7

Solving (b): The 25th term

First, we calculate the first term (a)

The 7th term of the progression is:

Substitute

Subtract 24

The 25th term is: