Observe 2 + 1 = 2 ^ 2-1, 2 ^ 2 + 2 + 1 = 2 ^ 3-1, 2 ^ 3 + 2 ^ 2 + 2 + 1 = 2 ^ 4-1 Calculate 2 ^ 9 + 2 ^ 8 + 2 ^ 7 + 2^2+2+1 2^n+2^n-1+… +2^2+2+1

Observe 2 + 1 = 2 ^ 2-1, 2 ^ 2 + 2 + 1 = 2 ^ 3-1, 2 ^ 3 + 2 ^ 2 + 2 + 1 = 2 ^ 4-1 Calculate 2 ^ 9 + 2 ^ 8 + 2 ^ 7 + 2^2+2+1 2^n+2^n-1+… +2^2+2+1

2+1=2^1+1
(1)=2^10-1=1023
(2)=2^(n+1)-1