Question

The 9th term of an AP is equal to 7 times the second term and 12 term exceeds 5 times the third term by 3 find the first term and the common difference____

Answer 1

The first term of the AP is 9 and the common difference is 3.

Step-by-step explanation:

To find the first term and common difference of an arithmetic progression (AP), we need to use the given information about the terms.

Let's assign variables:

First term (a) = a

Common difference (d) = d

Given:

9th term = 7 * 2nd term

12th term = 5 * 3rd term + 3

We can now write two equations:

a + 8d = 7(a + d)

a + 11d = 5(a + 2d) + 3

Solving these equations, we find that the first term (a) = 9 and the common difference (d) = 3.