1+1+1+1+1+1+1+1+1+1+1+1*2
1+1+1+1*2
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1+1+1+1+1+1+1+1+1+1+1+1+11++1+1+1+11+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1+1-2+2+2+2+2+2+2-12221+21=
-12135
Ta có: (1-1/2)(1-1/3)(1-1/4)......(1-1/20)
= (2/2-1/2)(3/3-1/3)(4/4-1/4)....(20/20-1/20)
= 1/2*2/3*3/4*...*19/20
=1/20
Vì 1/20>1/21
=> (1-1/2)(1-1/3)(1-1/4)......(1-1/20)>1/21
1. Tính nhanh:
a, 1/1 * 2 + 1/2 * 3 + 1/3 * 4
b, 5/11 *16 + 5/16 * 21 + 5/21 * 26
c, 1/20 + 1/30 + 1/42
a) 1/1 x 2 + 1/2 x 3 + 1/3 X 4 = 29/6
b) 5/11 x 16 + 5/16 x 21 + 5/21 x 26 = 74015/3696
c) 1/20 +1/30 + 1/42 = 3/28
nho k minh nha
\(A=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)\left(1-\frac{1}{4}\right)...\left(1-\frac{1}{19}\right)\left(1-\frac{1}{20}\right)\)
\(A=\left(\frac{2}{2}-\frac{1}{2}\right)\left(\frac{3}{3}-\frac{1}{3}\right)...\left(\frac{19}{19}-\frac{1}{19}\right)\left(\frac{20}{20}-\frac{1}{20}\right)\)
\(A=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}...\frac{18}{19}.\frac{19}{20}\)
\(A=\frac{1.2.3...18.19}{2.3.4...19.20}\)
\(A=\frac{1}{20}\Leftrightarrow A>\frac{1}{21}\)
\(A=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right).....\left(1-\frac{1}{20}\right)\)
\(A=\frac{1}{2}.\frac{2}{3}......\frac{19}{20}=\frac{1}{20}>\frac{1}{21}\)
\(\text{Vậy: A lớn hơn 1/21}\)
Ta có :
\(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right).....\left(1-\frac{1}{19}\right).\left(1-\frac{1}{20}\right)\)
\(=\)\(\frac{1}{2}.\frac{2}{3}.\frac{3}{4}.....\frac{18}{19}.\frac{19}{20}\)
\(=\)\(\frac{1.2.3.....18.19}{2.3.4.....19.20}\)
\(=\)\(\frac{1}{20}\)
Vì \(\frac{1}{20}>\frac{1}{21}\)nên \(A>\frac{1}{21}\)
Vậy \(A>\frac{1}{21}\)
1+1+1+1+1+1+1+1+1+1+1+1*2 = 13
1+1+1+1*2 = 5
1+1+1+1+1+1+1+1+1+1+1+1*2=1+1+1+1+1+1+1+1+1+1+1+2=13
1+1+1+1*2=1+1+1+2=5