若数列an满足a1=1/3,且对任意正整数m,n都有am+n=am*an.设前n项和为sn,则s10-s9的值是?
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若数列an满足a1=1/3,且对任意正整数m,n都有am+n=am*an.设前n项和为sn,则s10-s9的值是?
若数列an满足a1=1/3,且对任意正整数m,n都有am+n=am*an.设前n项和为sn,则s10-s9的值是?
若数列an满足a1=1/3,且对任意正整数m,n都有am+n=am*an.设前n项和为sn,则s10-s9的值是?
请问是am+n中是m+n是下标还是只有m是下标?
如果是m+n是下标,则可设m=1
则an+1=an×a1=an/3
∴后一项是前一项的1/3倍,则这是以1/3为公比,1/3为首项的等比数列.
∴Sn=1/2-1/(2×3^n)
∴S10-S9=1/(2×3^10)-1/(2×3^9)=-1/3^10
如果只有M是下标,那我也不知道了.
a2=a(1+1)=a1*a1,由此类推
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