Question

The first term of a G.P is 50 and the 4th term is 1350 determined its 5th term (with explanation )

Answer 1

a = 50, a4 = 1350

an = ar^(n-1)....(1)

when n =4

a4 = 50×r^(4-1) = 1350

r³ = 1350/50

r³ = 27

r³ = 3³

so, r= 3

now put n =5 in (1)

a5 = 50×3^(5-1)

a5 = 50×3^4

a5 = 50×3×3×3×3 = 50×81

a5 = 4050