so sanh
A=1319+1/1318+1va1320+1/1319+1
CMR : 1 - 1/2 + 1/3 - 1/4 + ... + 1/1317 - 1/1318 + 1/1319 = 1/660 + 1/661 + ... + 1 / 1318 + 1319
1) CMR : 1-1/2+1/3-1/4+.....+1/1317-1/1318+1/1319=1/660+1/661+...+1/1319
2)Cho a/b= 1+1/2+1/3+1/4+....+1/11+1/12
CMR : a chia hết cho 13
CMR \(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+.....+\frac{1}{1317}-\frac{1}{1318}+\frac{1}{1319}\) = \(\frac{1}{660}+\frac{1}{661}+......+\frac{1}{1319}\)
\(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+........+\frac{1}{1317}-\frac{1}{1318}+\frac{1}{1319}\)
\(=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+.......+\frac{1}{1319}-2.\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+.....+\frac{1}{1318}\right)\)
\(=1+\frac{1}{2}+\frac{1}{3}+........+\frac{1}{1319}-\left(1+\frac{1}{2}+\frac{1}{3}+.......+\frac{1}{658}+\frac{1}{659}\right)\)
\(=\left(1+\frac{1}{2}+\frac{1}{3}+........+\frac{1}{659}\right)-\left(1+\frac{1}{2}+\frac{1}{3}+......+\frac{1}{659}\right)+\frac{1}{660}+\frac{1}{661}+......+\frac{1}{1319}\)
\(=\frac{1}{660}+\frac{1}{661}+.........+\frac{1}{1319}\)
Cho p/q=1-1/2+1/3-1/4+1/5-1/6+...-1/1318+1/1319 cmr: p chia hết cho 1979
Cho:p/q=1-1/2+1/3-1/4-...-1/1318+1/1319,trong đó p,q thuộc z.CMR:p chia hết cho 1979
Cho P/Q=1-1/2+1/3-1/4...................-1/1318+1/1319,trong do p,q khac 0
CMR Pchia het cho 1979
\(cho\frac{a}{b}=1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...-\frac{1}{1318}+\frac{1}{1319}\)(với \(a,b\in Z\)). Chứng minh a⋮1979
\(\frac{p}{a}=1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...-\frac{1}{1318}+\frac{1}{1319}\)(p,a thuộc Z)
cmr p chia hết cho 1979
Cho m, n là những số nguyên dương thỏa mãn: \(\frac{m}{n}=1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...-\frac{1}{1318}+\frac{1}{1319}\)
Chứng minh rằng: m chia hết cho 1979