Tính A = 1.3.5 + 2.4.6 + .... + 97.99.101 + 98.100.102
Tính A = \(\frac{2.4.6+4.6.8+...+198.200.202}{1.3.5+3.5.7+...+97.99.101}\)
A = \(\frac{2.4.6+4.6.8+...+198.200.202}{1.3.5+3.5.7+...+97.99.101}\)=?
\(b=\frac{2.4.6+4.6.8+...+198.200.202}{1.3.5+3.5.7+...+97.99.101}\)
A = \(\frac{2.4.6+4.6.8+6.8.10+8.10.12+...+198.200.202}{1.3.5+3.5.7+5.7.9+7.9.11+...+97.99.101}\) =?
S=2.4.6+4.6.8+........+98.100.102
S = 2.4.6 + 4.6.8 + ... + 98.100.102
=> 8S = 2.4.6.8 + 4.6.8.8 + ... + 98.100.102.8
=> 8S = 2.4.6.(8 - 0) + 4.6.8.(10 - 2) + ... + 98.100.102.(104 - 96)
=> 8S = 2.4.6.8 - 0 + 4.6.8.10 - 2.4.6.8 + ... + 98.100.102.104 - 96.98.100.102
=> 8S = 98.100.102.104
=> S = 98.100.102.104/8
=> S = 12994800
=> 8S = 2.4.6.8 + 4.6.8.8 + 6.8.10.8 + .... + 98.100.102.8
=> 8S = 2.4.6.8 + 4.6.8.( 10 - 2 ) + 6.8.10.( 12 - 4 ) + .... + 98.100.102.( 104 - 96 )
=> 8S = 2.4.6.8 + 4.6.8.10 - 2.4.6.8 + 6.8.10.12 - 4.6.8.10 + .... + 98.100.102.104 - 96.98.100.102
=> 8S = ( 2.4.6.8 - 2.4.6.8 ) + ( 4.6.8.10 - 4.6.8.10 ) + .... + ( 96.98.100.102 - 96.98.100.102 ) + 98.100.102.104
=> 8S = 98.100.102.104
=> S = \(\frac{98.100.102.104}{8}\)
Đề bài: Tính
2.4.6+4.6.8+6.8.10+...+98.100.102
XIN TRÌNH BÀY RÕ RÀNG! CẢM ƠN CÁC BẠN RẤT NHIỀU!
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: 1.3.5+3.5.7+5.7.9+...+97.99.101
1.3.5+3.5.7+5.7.9+...+97.99.101
=(101-2).(101-1).101.(101+1):4
=25497450
Tính C=1.3.5-3.5.7+5.7.9-7.9.11+...-97.99.101