Question

what is the value of k so that +5, 6, 2 will form a geometric sequence​

Answer 1

Answer:

13

Step-by-step explanation:

k+5,6,2 are i g.p. so

let a=k+5 , b= 6 , c= 2,then we know that

b^2= ac

6^2=(k+5)2

36=2k+10

2k= 26

k=13 .

Answer 2

Given:

Three numbers k + 5, 6, 2.

To Find:

value of x

Solution:

As we know that if a, b, and c are in G.P. then

b/a = c/b ⇒ b² = ac

If k + 5, 6, 2 form G.P. then

6² = (k + 5) × 2

36 = 2k + 10

36 - 10 = 2k

26 = 2k

26/2 = k

13 = k

Hence, the value of k is 13.