if-5-x-y-40-are-in-GP-find-x-and-y-

Question Number 69314 by mezihloic last updated on 22/Sep/19

i f 5 x y 40 a r e i n G P . f i n d x a n d y

Commented by Rasheed.Sindhi last updated on 22/Sep/19

\frac{x}{5} = \frac{y}{x} = \frac{40}{y}

x y = 200

x^{2} = 5 y \Rightarrow x^{2} = 5 (\frac{200}{x}) \Rightarrow x^{3} = 1000 \Rightarrow x = 10

y = \frac{200}{x} = \frac{200}{10} = 20

x = 10, y = 20

Answered by Rasheed.Sindhi last updated on 22/Sep/19

t_{n} = {a r}^{n - 1} \Rightarrow t_{4} = 5 r^{3} = 40 \Rightarrow r = 2

x = 5 r = 5 (2) = 10

y = 10 r = 10 (2) = 20