数列求和常用公式: 1)1+2+3+......+n=n(n+1)÷2 2)1^2+2^2+3^2+......+n^2=n(n+1)(2n+1)÷6 3) 1^3+2^3+3^3+......+n^3=( 1+2+3+......+n)^2 =n^2*(n+1)^2÷4 4) 1*2+2*3+3*4+......+n(n+1) =n(n+1)(n+2)÷3 5) 1*2*3+2*3*4+3*4*5+......+n(n+1)(n+2) =n(n+1)(n+2)(n+3)÷4 6)...
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