Question

rut gon A= 2 + 2 mu 2 + 2 mu 3 + 2 mu 4 +....+ 2 mu 8

 

Answer 1

A=2+2²+2³+2⁴+...+2⁸

=> 2A=2²+2³+2⁴+2⁵+...+2⁹

=> 2A-A=2⁹-2

A=2⁹-2

A = 510

Answer 2

2A = 2( 2 + 2^2 + .. + 2^8)

2A = 2^2 + 2^3 + .. + 2^9

2A - A = ( 2^2 + 2^3 +.. + 2^9) - (2 + 2^2 + .. +2^8)

A = 2^2 + 2^3 +.. + 2^9 - 2 - 2^2 -...- 2^8

A = 2^9 - 2