Question

if a,b,c are three distinct real number in geometric progression, and a+b+c = xb , then x belongs in
@camerondoherty

Answer 1

ya nice try @eyedulla

Answer 2

XD LMAO

Answer 3

i didn't get the second one btw @eyedulla lol

Answer 4

2, 6, 18 2, 8, 32
26 42
26 = x * 6 42 = x * 8
x = 26/6 = 13/3 x = 42/8 = 21/4

k, kd, kd^2
k + kd + kd^2 = k(1 + d + d^2)
k(1 + d + d^2) = xkd
x = (k(1 + d + d^2))/kd
x = (1 + d + d^2)d

Answer 5

Example 1 Example 2
2, 6, 18 2, 8, 32
Sum = 26 Sum = 42
26 = x * 6 42 = x * 8
x = 26/6 = 13/3 x = 42/8 = 21/4

In general
k, kd, kd^2
Sum = k + kd + kd^2 = k(1 + d + d^2)
k(1 + d + d^2) = xkd
x = (k(1 + d + d^2))/kd
x = (1 + d + d^2)/d

Answer 6

What is the question?

Answer 7

you have to find range in which x belongs

Answer 8

xd = 1 + d + d^2

d^2 + d(1-x) + 1 = 0

for d to be real, the discriminant needs to be non negative :

(1-x)^2 - 4 >= 0

solve x

Answer 9

Thats 100% right. thanks