2^0+2^1+2^2+2^3+2^4+……+2^n=?

2025-01-03 07:21:48
推荐回答(2个)
回答1:

2^0+2^1+2^2+2^3+2^4+……+2^n
=2^0+2^0+2^1+2^2+2^3+2^4+……+2^n-2^0
=2^1+2^1+2^2+2^3+2^4+……+2^n-2^0
=2^2+2^2+2^3+2^4+……+2^n-2^0
=....
=2^(n+1)-1

回答2:

等比数列(1-2^(n+1))/(1-2)=2^(n+1)-1