数列an,a1=1,n>=2,an=(根号下sn +根号sn-1)/2,求数列根号sn为等差数列,及an通项
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数列an,a1=1,n>=2,an=(根号下sn +根号sn-1)/2,求数列根号sn为等差数列,及an通项
数列an,a1=1,n>=2,an=(根号下sn +根号sn-1)/2,求数列根号sn为等差数列,及an通项
数列an,a1=1,n>=2,an=(根号下sn +根号sn-1)/2,求数列根号sn为等差数列,及an通项
sn-s(n-1)=an=[√sn+√s(n-1)]/2
√sn-√s(n-1)=1/2
√sn-√s1=(n-1)/2
√sn=(n+1)/2
√sn为等差数列
sn=(n+1)(n+1)/4
an=sn-s(n-1)=(n+1)(n+1)/4-n*n/4=(2n+1)/4 (n>=2)
n=1时 an=1
n>1时 an=(2n+1)/4
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