A = 2+22+23+24+...+2100
2A = 22 + 23 + 24 + 25 +... + 2101
2A - A = ( 22 + 23 + 24 + 25 +... + 2101 ) - ( 2+22+23+24+...+2100 )
A = 2101 - 2
A = 2+22+23+24+...+2100
2A = 22 + 23 + 24 + ... + 2100
2A = 22 + 23 + 24 + ... + 2101
2A - A = ( 22 + 23 + 24 + ... + 2101 ) - ( 22 + 23 + 24 + ... + 2100 )
1A = 2101 - 2
\(1A=\frac{2^{101}-2}{1}\)