Question

计算,2减二的二次方减2的三次方减二的四次方．．．－2的九次方加二的十次方

Answer 1

2减二的二次方减2的三次方减二的四次方．．．－2的九次方加二的十次方

=2-2^2-2^3-2^4-.-2^9+2^10

=5-1-2-2^2-2^3-2^4-.-2^9+2^10

=5-(1+2+2^2+2^3+2^4+.+2^9)+2^10

=5-(2^10-1)+2^10

=5-2^10+1+2^10

=6