5\1.2 + 4\1.11 + 3\2.11 + 1\2.15 + 15\4+15
Những câu hỏi liên quan
1,A= 1/2.15+3/2.11+ 4/1.11+5/2.1
2,Cho P= (1/1.2+ 1/3.4+ 1/5.6.........1/59.60).31.32.33......59.60
Chứng minh P chia hết cho 61
5 phần 2.1 + 4 phần 1.11 + 3 phần 2.11 + 1 phần 2.15 + 13 phần 15.14
Tính hợp lí ko quy đồng
Đặt \(A=\frac{5}{2.1}+\frac{4}{1.11}+\frac{3}{2.11}+\frac{1}{2.15}+\frac{13}{15.4}\)
\(\frac{1}{7}.A=\frac{5}{2.7}+\frac{4}{7.11}+\frac{3}{11.14}+\frac{1}{14.15}+\frac{13}{15.28}\)
\(\frac{1}{7}.A=\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{15}+\frac{1}{15}-\frac{1}{28}\)
\(\frac{1}{7}.A=\frac{1}{2}-\frac{1}{28}\)
\(\frac{1}{7}.A=\frac{14}{28}-\frac{1}{28}=\frac{13}{28}\)
\(A=\frac{13}{28}:\frac{1}{7}=\frac{13}{28}.7=\frac{13}{4}\)
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TÍNH NHANH
5/1.2+4/1.11+3/11.2+1/2.15
tính :B = 5/1.2+4/1.11+3/11.2+1/2.15+13/15.4
1
a so sánh
A=1.99+2.98+...+99.1/1.2+2.3+...+99.100
B=1+2+...+99/ 5/2.1+4/1.11+3/11.2+1/2.15+13/15.4+15/4.43+13/43.8
CMR: luon ton tai 1 so n de :1+1/2+...+1/n>999
Bài 1:
a) Chứng tỏ rằng : 200 - (3+2/3+2/4+....+2/100)
--------------------------------------- = 2
1/2+2/3+3/4+....+9/100
b) Cho B =5/2.1 + 4/1.11 + 3/11.2 + 1/2.15 + 15/4.43 + 13/43
Chứng tỏ rằng B > 3
5/2.1+4/1.11+3/11.2+1/2.15+13/15.4
5/2.1+4/1.11+3/11.2+1/2.15+13/15.4
-> 5/2+4/11+3/22+1/30+13/60
-> 1650/660+240/660+90/660+22/660+143/660
-> 2145/660
-> 13/4
5/2.1+4/1.11+3/11.2+1/12.15+13/15.4
=7.(5/2.7+4/7.11+3/11.14+1/14.15+13/15.28)
=7.(1/2-1/7+1/7-1/11+1/11-1/14+1/14-1/15+1/15-1/28)
=7.(1/2-1/28)=13/14=hỗn số 3 1 phần 4
B= 5/2.2 + 4/1.11 +3/11.2 + 1/2.15 + 13/15.4
B=5/2.1+4/1.11+3/11.2+2/2.15+1/15.4