#
The sum of series

(1×2)+(2×2²)+(3×2³)+(4×2⁴)+...(n×2^n)=?

If u don't know please don't answer

1
by eqasw

Log in to add a comment

(1×2)+(2×2²)+(3×2³)+(4×2⁴)+...(n×2^n)=?

If u don't know please don't answer

by eqasw

Log in to add a comment

The Brainliest Answer!

(2+2²+2³+2⁴+2⁵+2⁶...+2^n=2(2^(n+1)-1)

+2²+2³+2⁴+2⁵+2⁶...+2^n=4(2^n-1)

+2³+2⁴+2⁵+2⁶...+2^n=8(2^(n-1)-1)

: :

: :

. 2^n=2^n

-------------------------------------------

=n2^{n+1}-(2^(n+1)-2)=(2^(n+1))×(n-1)+2

=