负2的50次方依次加到负2的1次方?
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sum = (-2)^1+(-2)^2+(-2)^3+(-2)^4+......+(-2)^49+(-2)^50
= (2^2-2^1) + (2^4-2^3) + (2^6-2^5)+......+2^50-2^49
= (2-1)*2^1+(2-1)*2^3+(2-1)*2^5+......+(2-1)*2^49
= 2^1+2^3+2^5+2^7+......+2^49
套用等比数列的求和公式:sum = A1*(q^n-1)/(q-1)
A1=2^1=2
q=2^2=4
n=(49+1)/2=25
sum = 2*(4^25-1)/(4-1) = 750599937895082
= (2^2-2^1) + (2^4-2^3) + (2^6-2^5)+......+2^50-2^49
= (2-1)*2^1+(2-1)*2^3+(2-1)*2^5+......+(2-1)*2^49
= 2^1+2^3+2^5+2^7+......+2^49
套用等比数列的求和公式:sum = A1*(q^n-1)/(q-1)
A1=2^1=2
q=2^2=4
n=(49+1)/2=25
sum = 2*(4^25-1)/(4-1) = 750599937895082
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