Question

g) find four
numbers
in G.P Such that product
of their
extrem is72 and their sum of middle two is 18
​

Answer 1

Step-by-step explanation:

Let the terms be a ar ar² and ar³

A/Q

a × ar³ = 72

a²r³=72, a²=72/r³

And,

ar × ar² = 18

a²r⁴=18

72/r³ × r⁴ =18

r = 18/72 = 1/4

a= root(72/r³) = root(72×4×4×4)

=16root18

Then terms will be a ar ar² and ar³