Tính tổng:
H=1.3.5-3.5.7+5.7.9-7.9.11+...+95.97.99-97.99.101
E=1.33+3.53+5.73+...+49.513
F=1.992+2.982+3.972+...+49.512
Tính tổng : C = 1.3.5 + 3.5.7 + 5.7.9 + .... + 93.95.97 + 95.97.99
Tính C=1.3.5-3.5.7+5.7.9-7.9.11+...-97.99.101
G=1.3.5+3.5.7+5.7.9+...+95.97.99
Tính tổng G
\(G=1.3.5+3.5.7+5.7.9+...+95.97.99\)
\(G=1+99.\left(3+5+7+...+97\right)\)\
\(G=100.\left[\left(3+97\right)+\left(5+95\right)+...+\left(49+51\right)\right]\)
\(G=100.\left(100.24\right)\)
\(G=100.2400=240000\)
Tính A = 1.3.5 + 3.5.7 + 5.7.9 + .... + 95.97.99 + 97.99.101
1.3.5.8 + 3.5.7.8 + 5.7.9.8 + … + 95.97.99.8
= 1.3.5(7 + 1) + 3.5.7(9 - 1) + 5.7.9(11 - 3) + … + 95.97.99(101 - 93)
= 1.3.5.7 + 15 + 3.5.7.9 - 1.3.5.7 + 5.7.9.11 - 3.5.7.9 + … + 95.97.99.101 - 93.95.97.99
= 15 + 95.97.99.101
=> \(A=\frac{15.95+97.99.101}{8}\)
Bài này rất dễ may cho bạn là hôm nay minh rảnh nên mới giải cho tiết.Thôi tớ làm nhé!
Theo bài ra ta có :
A =1.3.5+3.5.7+5.7.9+...+97.99.101
8A=8.(1.3.5+3.5.7+5.7.9+...+97.99.101)
8A=1.3.5.8+3.5.7.8+5.7.9.8+...+97.99.101.8
8A=1.3.5.(7+1)+3.5.7(9-1)+5.7.9.(11-3)+...+97.99.101.(103-95)
8A=1.3.5.7+1.1.3.5+3.5.7.9-1.3.5.7+5.7.9.11-3.5.7.9+...+97.99.101.103-95.97.99.101
8A=1.1.3.5+97.99.101.103
8A=15+99900009
8A=99900024
A =99900024:8
A =12487503
Vậy A=12487503
tính
A= 1/1.3.5+ 1/3.5.7+1/5.7.9+.....+1/95.97.99
A = 1/4.( 4/1.3.5 + 4/3.5.7+ ....+ 4/95.97.99)
= 1/4 .( 1/ 1.3 - 1/3.5 + 1/3.5 - 1/5.7 + .......+ 1/95.97 - 1/97.99)
= 1/4( 1/1.3 - 1/97.99)
= 1/4 . 9499/29397
tính
B=1.3.5+3.5.7+5.7.9+7.9.11+...+99.101.103
Tính nhanh: D = 4/1.3.5+4/3.5.7+4/5.7.9+4/7.9.11+4/9.11.13.
D = 4/1.3.5+4/3.5.7+4/5.7.9+4/7.9.11+4/9.11.13
D.\(=\frac{1}{1.3}-\frac{1}{3.5}+\frac{1}{3.5}-\frac{1}{5.7}+...+\frac{1}{9.11}-\frac{1}{11.13}\)
D\(=\frac{1}{1.3}-\frac{1}{11.13}\)
D\(=\frac{1}{3}-\frac{1}{143}\Rightarrow D=\frac{140}{429}\)
1.3.5+3.5.7+5.7.9+...+93.95.97+95.97.99
(.) là x
Đặt A = \(1.3.5+3.5.7+5.7.9+..+93.95.97+95.97.99\)
\(8A=1.3.5.8+3.5.7.8+...+93.95.97.8+95.97.99.8\)
\(8A=1.3.5.\left(1+7\right)+3.5.7.\left(9-1\right)+...+95.97.99\left(101-93\right)\)
\(8A=1.3.5.7+15+3.5.7.9-1.3.5.7+...+95.97.99.101-93.95.97.99\)
\(8A=15+95.97.99.101\)
\(\Rightarrow\) \(A=\frac{15+95.97.99.101}{8}\)
\(KL:........\)
A= 1/1.3.5+ 1/3.5.7+1/5.7.9+.....+1/95.97.99
\(A=\frac{1}{1.3.5}+\frac{1}{3.5.7}+\frac{1}{5.7.9}+...+\frac{1}{95.97.99}\)
\(A=4.\left(\frac{1}{1.3}-\frac{1}{3.5}+\frac{1}{3.5}-\frac{1}{5.7}+\frac{1}{5.7}-\frac{1}{7.9}+...+\frac{1}{95.97}-\frac{1}{97.99}\right)\)
\(A=4.\left(\frac{1}{1.3}-\frac{1}{97.99}\right)\)
\(A=4.\frac{3200}{9603}=\frac{12800}{9603}\)
\(A=\frac{1}{1.3.5}+\frac{1}{3.5.7}+\frac{1}{5.7.9}+...+\frac{1}{95.97.99}\)
\(A=\frac{1}{4}.\left(\frac{1}{1.3.5}+\frac{1}{3.5.7}+\frac{1}{5.7.9}+...+\frac{1}{95.97.99}\right)\)
\(A=\frac{1}{4}.\left(\frac{1}{1.3}-\frac{1}{3.5}+\frac{1}{3.5}-\frac{1}{5.7}+\frac{1}{5.7}-\frac{1}{7.9}+...+\frac{1}{95.97}-\frac{1}{97.99}\right)\)
\(A=\frac{1}{4}.\left(\frac{1}{1.3}-\frac{1}{97.99}\right)\)
\(A=\frac{1}{4}.\frac{3200}{9603}\)
\(A=\frac{800}{9603}\)
Bài trc mik làm lộn :)))
~ Hok tốt ~