Find the values of k for which k + 12, k – 6 and 3 are in GP.

Question

Philoid · Accepted Answer

To find: Value of k

Given: k + 12, k – 6 and 3 are in GP

Formula used: (i) when a,b,c are in GP b² = ac

As, k + 12, k – 6 and 3 are in GP

⇒ (k – 6)² = (k + 12) (3)

⇒ k² – 12k + 36 = 3k + 36

⇒ k² – 15k = 0

⇒ k (k – 15) = 0

⇒ k = 0 , Or k = 15

Ans) We have two values of k as 0 or 15