Question

If T2 = 24 and T5 = 81 then the value of a and r is​

Answer 1

a = 16

Explanation:

Equation of nth term in GP:

Tn = (a*r)^(n-1)

t2 = 24 that means a*r = 24

t5 = 81 that means a*(r)^4 = 81

t5/t2 => 81/24

That means (r)^3 = 81/24

Therefore r = 3/2

Substituting value of r in t2 we get,

a*(3/2) = 24

Therefore a = 24*(2/3)

Hence a = 16