Question

if k+9,4 are in G.P then k =​

Answer 1

Answer:

MATHS

avatar

Asked on November 22, 2019 by

Oorja Sunil

Find k such that (k+9), (k−6) and 4 form three consecutive terms of a G.P.

Share

Study later

ANSWER

It is given that k+9, k-6,4 are in G.P.

∴(k−6) is the geometric mean of (k+9) and (k+4)

(k−6)

2

=(k+9)×4

⇒k

2

−12k+36=4k+36

⇒k

2

−16k=0

⇒k(k−16)=0.

k is either 0 or 16