Question

find the first five terms of GP if a =1024and r=1by2​

Answer 1

refer to the attached file.

thanks for the question!

Answer 2

Therefore the first five terms of G.P is

1024,512,256,128 and 64.

Step-by-step explanation:

Given first term (a) = 1024

    common ratio (r) =$\frac{1}{2}$

$N^{th}$ term of the series is $T_n=a r^{n-1}$

Second term =$T_2=1024\times \frac{1}{2}$  = 512

Third term  = $T_3=1024 \times( \frac{1}{2} )^2$  =256

Fourth term = $T_4=1024\times( \frac{1}{2} )^3$ =128

Fifth term = $T_5=1024\times(\frac{1}{2} )^4$  =64

Therefore the first five terms of G.P is

1024,512,256,128 and 64.