1.1/a1+1/a2+.+1/am=n^2+n/2 求am2.bn=2^n(2n-1) 求bn的前n项和Tn

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1.1/a1+1/a2+.+1/am=n^2+n/2 求am2.bn=2^n(2n-1) 求bn的前n项和Tn
1.1/a1+1/a2+.+1/am=n^2+n/2 求am
2.bn=2^n(2n-1) 求bn的前n项和Tn

1.1/a1+1/a2+.+1/am=n^2+n/2 求am2.bn=2^n(2n-1) 求bn的前n项和Tn
1 1/a1+1/a2+.+1/an=n^2+n/2
1/a1+1/a2+.+1/a(n-1)=(n-1)^2+(n-1)/2
2式相减
1/an=2n-1/2
an=1/(2n-1/2)=2/(4n-1)
2 Tn=1*2+3*2^2+5*2^3+...+(2n-1)*2^n
2Tn=1*2^2+3*2^3+5*2^4+..+(2n-1)*2^(n+1)
2式相减
-Tn=2-(2^3+2^4+...+(2n-1)*2^n)-(2n-1)*2^(n+1)
-Tn=2-2^3[1-2^(n-2)]/(1-2)-(2n-1)*2^(n+1)
-Tn=2+8-2^(n+1)-(2n-1)*2^(n+1)
-Tn=10-2n*2^(n+1)
Tn=2n*2^(n+1)-10

1.1/a1+1/a2+.+1/am=n^2+n/2 求am2.bn=2^n(2n-1) 求bn的前n项和Tn a1=1,am+n=am+an+mn,求1/an+1/a2+1/a3+.+1/2012= 数列an满足a1=1,且对任意m,n都有am+n=am+an+mn,则1/a1+1/a2+...+1/a2010= 证明：若lim(n → ∝)(a1^n+a2^n+……+am^n)^1/n=max(a1,a2,……am)其中,ai>=0(ai=1,2……m) 数集｛a1,a2.am}并B=｛a1,a2,a3.am,am+1,.am,am+1,.an} 求B的子集个数如果向量组a1,a2,...,am线性无关,证:a1-a2,a2-a3.am-1-am,am-al线性相关若数列{am}的通项公式am=[1+(1/2013×2^m+1)]^2013（m∈N*）,求证：a1.a2.a3.am＜3, 设a1,a2,...,an都是正数,证明不等式(a1+a2+...+an)[1/(a1)+1/(a2)+...+1/(an)]>=n^2 0a1+2a2+.+0am=0 则 a1 a2 a3 ...am 都线性无关 a1 a2 a3 .am 是n唯向量计算 n+1阶行列式,Dn+1=[x a1 a2 a3...an;a1 x a2 a3...an;a1 a2 x a3...an;............a1 a2 a3 a4 ...x] 等比数列,a1+a2+...+an=2^n-1,求a1^2+a2^2+.+an^2 等比数列｛an｝中,a1=1,公比为q,若am=a1,a2,a3,a4,a5,则m等于?若an等于a1乘a2乘a3乘a4乘a5，则n等于多少等差数列a n的项数m是奇数,且a1+a3+…+am=44,a2+a4+…+am-1=33,求m的值数列{an}满足a1=1,且对任意m,n的都有am+n=am+an+mn,则1/a1+1/a2+1/a3+……+1/a2008=?数列{an}满足a1=1,且对任意m,n的都有am+n（m+n是下标）=am+an+mn（mn不是下标）,则1/a1+1/a2+1/a3+……+1/a2008=?给+分等差数列a1,a2...am的和为-64,而且am-1+a2=-8,那么项数M= 等差数列{an},a1,a2,a3,...,am的和为64,而且am-1 + a2=8,求m 等差数列{an},a1,a2,a3,...,am的和为64,而且am-1 + a2=8,求m 已知数列{an}中,a1=1,且对任意的正整数m,n满足am+n=am+an+mn,1/a1+1/a2+...+1/a2012等于多少