Câu `1`:
`A = 2^0 + 2^1 + 2^2 +...........+ 2^99`
`2A = 2 + 2^2 + 2^3 +...........+ 2^100`
`2A - A = ( 2^1 + 2^2 + 2^3 +...........+ 2^100 ) - ( 2^0 + 2^1 + 2^2 +...........+ 2^99 )`
`A = 2^100 - 1 < B = 2^100`
→ `A < B`
Câu `2`:
`A = 1 + 8 + 27 + 64 +............+ 1000`
`A = 1^3 + 2^3 + 3^3 + 4^3 +............+ 10^3`
`A = 1 + 8 + 27 + 64 + 125 + 216 + 343 + 512 + 729 + 1000`
`A = ( 1 + 729 ) + ( 8 + 512 ) + ( 27 + 343 ) + ( 64 + 216 ) + ( 125 + 1000 )`
`A = 730 + 520 + 370 + 280 + 1125`
`A = 1100 + 800 + 1125`
`A = 1900 + 1125`
`A = 3025`
