Question

seventh times seventh term of an A.P is equal to eleventh times eleventh term. find it's eighteenth term​

Answer 1

To find the eighteenth term of an arithmetic progression (AP) when the seventh term is equal to the eleventh term, we use the formula a + 17d and determine that the eighteenth term is the same as the seventh term and the eleventh term.

Step-by-step explanation:

To find the eighteenth term of an arithmetic progression (AP), we need to find the common difference (d) first. We are given that the seventh term is equal to the eleventh term, so we have:

a + 6d = a + 10d

Solving this equation gives us d = 0. To find the eighteenth term, we can use the formula:

a + 17d

Since d is 0, the eighteenth term will be the same as the seventh term and the eleventh term. Therefore, the eighteenth term is a.