Math, asked by kohi3, 11 months ago

Find the number of terms in the following G.P . 1) 4,8,16,...,8192?​


pmgayathiri: Find the number of terms in the following G.P . 1) 4,8,16,...,8192?​

Answers

Answered by aristeus
4

Answer:

There will be 12 terms in the series

Step-by-step explanation:

We have given the G.P series as 4,8,16...............8192

So common ratio r=\frac{8}{4}=2

From the series last term = 8192

And the first term a = 4

We know that in G.P series nth term is given by

T_n=ar^{n-1}

So 8192=4\times 2^{n-1}

2048=2^{n-1}

n-1=11

n = 12

Similar questions