运用乘方的意义化简(-5)^(2n+1)+5×(-5)^2n+2000^(2n+1)×(1/2000)^2n
Sn=n(n+2)(n+4)的分项等于1/6[n(n+2)(n+4)(n+5)-(n-1)n(n+2)(n+4)]吗?
证明(1+2/n)^n>5-2/n(n属于N+,n>=3)
1N+1N=2N的物理意义
2^n/n*(n+1)
证明不等式:(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n
(5^n+(-2)^n)/(5^(n+1)+(-2)^(n+1))当n趋近无穷,求极限.
lim 9^n+4^n+2/5^n-3^2n-1 n趋于无穷大时
1/[n(n+1)(n+2)]的化简
lim(3^2n+5^n)/(1+9^n)
5^n+C(n,1)5^(n-1)+C(n,2)5^(n-2)+.C(n,n-1)5 被7除所得的余数
一道数列求和题1/2n+3/4n+5/8n+...+(2n-1)/n*2^n
若n∈N*,则当n=1或n≥5时,n^2<2n;证明所得的结论; 当n=5时,