tính tổng : 1+(1+2)+(1+2+3)+(1+2+3+4)+...+(1+2+3+4...+100)
1.2+2.3+3.4+...+99.100
Tính tổng:
F=\(\frac{1+1.2+3.4+...+100.101}{\left(1.2+2.3+...+99.100\right).2}\)
\(\frac{1^2}{1.2}.\frac{2^2}{2.3}.\frac{3^{^2}}{3.4}...\frac{99^2}{99.100}.\frac{100^2}{100.101}\)
CMR
\(\frac{1.2-1}{2!}+\frac{2.3-1}{3!}+\frac{3.4-1}{4!}+...+\frac{99.100-1}{100!}<2\)
tính tổng
S=1.2+2.3+3.4+.....+99.100
P=1+3+5+7+...+2015
T=1+2-3-4+5+6-7-8+...+97+98-99-100
C/m:(1.2-1)/2! + (2.3-1)/3!+...+(99.100-1)/100! <2
tính tổng sau
a, S=1.2+2.3+3.4+....+99.100
b, S=12+22+32+...+1002
CMR :1.2-1/2! + 2.3-1/3! + 3.4-1/4! + ... + 99.100-1/100! < 2
\(CMR:\) \(\frac{1.2-1}{2!}+\frac{2.3-1}{3!}+\frac{3.4-1}{4!}+...+\frac{99.100-1}{100!}\) \(< 2\)