a1^2+a2^2+a3^2+……an-1^2=(4(n-1/)^3-(n-1))/3
a1^2+a2^2+a3^2+……an^2=(4n^3-n)/3
兩式相減可得an^2=(2n-1)^2
所以an=2n-1,可知數(shù)列an是首列為1公差為2的奇數(shù)列
由等差數(shù)列公式Sn=[n(A1+An)]/2
可算出sn=[n(1+2n-1)]/2
sn=n^2
已知各項(xiàng)為正數(shù)的數(shù)列{an}滿足a1^2+a2^2+a3^2+……an^2=3/1/(4n^3-n)(n是正整數(shù)),求數(shù)列的前n項(xiàng)和Sn
已知各項(xiàng)為正數(shù)的數(shù)列{an}滿足a1^2+a2^2+a3^2+……an^2=3/1/(4n^3-n)(n是正整數(shù)),求數(shù)列的前n項(xiàng)和Sn
已知各項(xiàng)為正數(shù)的數(shù)列{an}滿足a1^2+a2^2+a3^2+……an^2=(4n^3-n)/3(n是正整數(shù)),求數(shù)列的前n項(xiàng)和Sn
已知各項(xiàng)為正數(shù)的數(shù)列{an}滿足a1^2+a2^2+a3^2+……an^2=(4n^3-n)/3(n是正整數(shù)),求數(shù)列的前n項(xiàng)和Sn
數(shù)學(xué)人氣:765 ℃時(shí)間:2019-08-21 22:10:06
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