tinh nhanh 1.3+3.5+5.7+............+97.99=
Tinh: A= 1.3 + 3.5 + 5.7 + ...+ 97.99
\(A=1.3+3.5+5.7+...+97.99\)
\(\Rightarrow6A=1.3.6+3.5.\left(7-1\right)+5.7.\left(9-3\right)+...+97+99.\left(101-95\right)\)
\(\Rightarrow6A=1.3.6+3.5.7-1.3.5+5.7.9-3.5.7+...+97.99.101-95.97.99\)
\(\Rightarrow6A=1.3.6+97.99.101-1.3.5\)
\(\Rightarrow6A=3.\left(1+97.33.101\right)\)
\(\Rightarrow2A=1+323301\)
\(\Rightarrow2A=323302\)
\(\Rightarrow A=161651\)
tinh
1.3+3.5+5.7+.................+97.99
tính nhanh: D=1.3+3.5+5.7+.......+97.99
D= 1 x 99 x 36 cặp = 3564
1.3+3.5+5.7+...+97.99
S=1.3+3.5+5.7+....+97.99
S=(1+3+5+7+......+97).(3+5+7+........+99)
S=1+99+(3+5+7+......+97).2
S= 1+99+2400 .2
S=1+99+ 4800
S=100+4800
S=4900
Nhớ tick cho mình nha
1.3 + 3.5 + 5.7 + ... + 97.99
Tính GTBT:1.3/3.5+2.4/5.7+3.5/7.9+...+48.50/97.99
tính : 1.3 + 3.5 + 5.7 +.... + 97.99
161651
ban nhe
tk nha@@@@@@@@@@@@@@@@@@@@@@@@2
hihi
A = 1.3 +3.5 + 5.7 + ...+ 97.99
Bạn tham khảo :
https://h.vn/hoi-dap/question/122304.html
Hok tốt !
A = 1.3 +3.5 + 5.7 + ...+ 97.99
6A= 1.3.6 + 3.5.6 + 5.7.6 + ... + 97.99.6
= 1.3.(5+1) + 3.5.(7-) + 5.7(9-3) + ... + 97.99(101-95)
= 1.3.5 + 1.3 + 3.5.7 - 1.3.5 + 5.7.9 - 3.5.7 + ... + 97.99.101 - 95.97.99
= 1.3.5 + 3 + 3.5.7 - 1.3.5 + 5.7.9 - 3.5.7 + .... + 97 .99.101 - 95.87.99
=3+97.99.101
=> A = ( 1+97.33.101) : 2
A= 161651
A = 1.3 + 3.5 + 5.7 + … + 97.99
6A = 1.3.6 + 3.5.6 + 5.7.6 + … + 97.99.6
= 1.3.(5 + 1) + 3.5.(7 - 1) + 5.7(9 - 3) + … + 97.99(101 - 95)
= 1.3.5 + 1.3 + 3.5.7 - 1.3.5 + 5.7.9 - 3.5.7 + … + 97.99.101 - 95.97.99
= 1.3.5 + 3 + 3.5.7 - 1.3.5 + 5.7.9 - 3.5.7 + … + 97.99.101 - 95.97.99
= 3 + 97.99.101
⇒ A = 1 + 97 . 99 . 101 /2 = 161651
Chúc bạn học tốt !
Tính nhanh
B=3^2/1.3+3^2/3.5+3^2/5.7+...+3^2/95.97+3^2/97.99
=3.(3/1.3+3/3.5+3/5.7+...+3/95.97+3/97.99)
=3(1-1/3+1/3-1/5+1/5-1/7+...+1/95-1/97+1/97-1/99)
=3[(1-1/99)+(1/5-1/5)+(1/7-1/7)+...+(1/97-1/97)]
=3(1-1/99)=3(99/99-1/99)=3.98/99=1.98/33=98/33
Neu la 3 ma ko phai la 3^2 thi sao : Tinh gium minh nha .