Giúp tôi giải toán - Hỏi đáp, thảo luận về toán học - Học toán với OnlineMath

dao nguoc day so lai

102-101+100-99+...........+8-7+6-5+4-3+2-1

=>\(\dfrac{x-5}{100}-1+\dfrac{x-4}{101}-1+\dfrac{x-3}{102}-1=\dfrac{x-100}{5}-1+\dfrac{x-101}{4}-1+\dfrac{x-102}{3}-1\)

=>x-105=0

=>x=105

A= [(1+101)x101:2]-(102-103)
A= 5151+1
A=5152

B= [1+(-3)]+[4+(-5)]+.......[101+(-103)]+105
B= (-2)+(-2)...........+(-2)+105

=> A>B
B=(-2)x26+105
B=(-56)+105
B= 49

cái => A>B nó nằm ở dưới cùng ấy. Nãy gõ chứ nó bị nhảy phím

\(a,\left(-5\right)+11+\left(-15\right)+21+\left(-25\right)+31+...+\left(-95\right)+101\\ =\left[\left(-5\right)+11\right]+\left[\left(-15\right)+21\right]+\left[\left(-25\right)+31\right]+...+\left[\left(-95\right)+101\right]\\ =6+6+6+...+6\left(10\text{ số }6\right)\\ =6\cdot10\\ =60\)

\(b,3+\left(-12\right)+13+\left(-22\right)+23+\left(-32\right)+...+93+\left(-102\right)\\ =\left[3+\left(-12\right)\right]+\left[13+\left(-22\right)\right]+\left[23+\left(-32\right)\right]+...+\left[93+\left(-102\right)\right]\\ =\left(-9\right)+\left(-9\right)+\left(-9\right)+...+\left(-9\right)\left(10\text{ số }-9\right)\\ =\left(-9\right)\cdot10\\ =-90\)

\(a,\left(-5\right)+11+\left(-15\right)+21+\left(-25\right)+31+...+\left(-95\right)+101\)

\(=\left[\left(-5\right)+11\right]+\left[\left(-15\right)+21\right]+\left[\left(-25\right)+31\right]+...+\left[\left(-95\right)+101\right]\)

\(=6+6+6+...+6\) (10 số 6)

\(=6.10=60\)

\(\)

**\(P=5\left(1+5\right)+5^3\left(1+5\right)+...+5^{101}\left(1+5\right)\)

\(=5.6+5^3.6+...+5^{101}.6\)

\(=6\left(5+5^3+...+5^{101}\right)⋮6\)

** \(P=5\left(1+5+5^2\right)+5^4\left(1+5+5^2\right)+...+5^{100}\left(1+5+5^2\right)\)

\(=5.31+5^4.31+...+5^{100}.31\)

\(=31\left(5+5^4+...+5^{100}\right)⋮31\)

S= [(102+1).102]:2 =5253

vậy S=5253

S = 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 +...- 99 - 100 + 101 + 102

S = 1 + ( 2 - 3 - 4 + 5 ) + ( 6 - 7 - 8 + 9 ) + ... + ( 98 - 99 - 100 + 101 ) + 102 

S = 1 + 102

S = 103