Question

For what value of k will be concecutive terms 2k+1,3k+3 and 5k-1 from an ap

Answer 1

We know that, in an AP the difference is same.

so,

(3k + 3) - ( 2k +1 ) = ( 5k - 1 ) - ( 3k + 3)

➡ 3k + 3 - 2k - 1 = 5k - 1 - 3k - 3

➡ k + 2 = 2k - 4

➡ 2k - k = 2 + 4

➡ k = 6

Hope it will help you !!