求99+95+91+…+7+3-1-5-9的值?
回答 (2)
求99+95+91+…+7+3-1-5-9的值?
Sol
a(1)=99
a(n)=-9
d=95-99=-4
a(n)=a(1)+(n-1)d
-9=99+(n-1)*(-4)
-9=99-4n+4
4n=99+4+9=112
n=28
S=S(28)=(99-9)*28/2=45*28=1260
=(99+....+7)+3-1-5-9
=((99+7)*24/2)+3-1-5-9
=1272+3-1-5-9
=1260
收錄日期: 2021-04-30 22:48:50
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