Question

For what value of k will the consecutive terms 2k+1,3k+3 and 5k_1 from an
a.p.

Answer 1

Hey there!!

Let 2k+1, 3k+3, and 5k-1 are the three terms of this AP

we know diffrence among the terms is always equal by this context ,

a2 -a1 = a3 - a2

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

=> 3k +3 -2k -1 = 5k-1 -3k-3

=> k +2 = 2k -4

=> k-2k = -4-2

=> -k = -6

=> k. = 6

u can verify it too by k =6 in all the the given terms

hope this helps u !!