Question

THE COMMON RATIO OF GP IS 2.IF THE 5TH TERM IS GREATER THANTHE FIRST TERM BY 45.WHAT IS THE 5TH TERM

Answer 1

Answer:

In GPs nth term is given by ar$^{n-1}$ where symbols have their usual meanings.

Let first term of this GP be a.

According to the question -

→ 5th term = first term + 45

→ a.2$^{5-1}$ = a + 45

→ a.2$^4$ = a + 45

→ a.16 = a + 45

→ 16a = a + 45

→ 16a - a = 15a = 45

→ a = 45/15 = 3

Hence ,

5th term = 16a = 16(3) = 48

Required term is 48