Question

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

Answer 1

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