Chọn đáp án D

* là gì vậy bạn?

là số cần điền ấy

tham khảo

Dấu "=" xảy ra khi 

k có j ngoài 

"tham khảo

Dấu "=" xảy ra khi 

bạn ạ

:")

Ta có: \(1+3+6+10+\cdots+45+55\)

\(=\frac12\times\left(2+6+12+20+\cdots+90+110\right)\)

\(=\frac12\times\left(1\times2+2\times3+\cdots+9\times10+10\times11\right)\)

\(=\frac12\times\left\lbrack1\times\left(1+1\right)+2\times\left(2+1\right)+\cdots+10\times\left(10+1\right)\right\rbrack\)

\(=\frac12\times\left\lbrack\left(1\times1+2\times2+\cdots+10\times10\right)+\left(1+2+\cdots+10\right)\right\rbrack\)

\(=\frac12\times\left\lbrack10\times\left(10+1\right)\times\frac{\left(2\times10+1\right)}{6}+10\times\frac{11}{2}\right\rbrack\)

\(=\frac12\times\left\lbrack10\times11\times\frac{21}{6}+5\times11\right\rbrack=\frac12\times\left\lbrack5\times11\times7+5\times11\right\rbrack\)

\(=\frac12\times5\times11\times\left(7+1\right)=\frac{55}{2}\times8=55\times4=220\)

Ta có: \(1\times10+9\times2+\cdots+10\times1\)

\(=2\times\left(1\times10+2\times9+3\times8+4\times7+5\times6\right)\)

\(=2\times\left\lbrack1\times\left(11-1\right)+2\times\left(11-2\right)+3\times\left(11-3\right)+4\times\left(11-4\right)+5\times\left(11-5\right)\right\rbrack\)

\(=2\times\left\lbrack11\times\left(1+2+3+4+5\right)-\left(1\times1+2\times2+3\times3+4\times4+5\times5\right)\right\rbrack\)

\(=2\times\left\lbrack11\times15-\left(1+4+9+16+25\right)\right\rbrack\)

=2x(165-55)

=2x110

=220

Ta có: \(\frac{1\times10+9\times2+\cdots+10\times1}{1+3+6+10+\cdots+45+55}\)

\(=\frac{220}{220}\)

=1

kb nè

5x8=40

 5 x 8 = 40 

bn  nha

=

A=1/5-1/8+1/8-1/11+...+1/602-1/605

=1/5-1/605

=24/121

\(B=\dfrac{3}{2\cdot5}+\dfrac{3}{5\cdot8}+\dfrac{3}{8\cdot11}+...+\dfrac{3}{26\cdot29}\)

\(B=\dfrac{1}{2}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{11}+...+\dfrac{1}{26}-\dfrac{1}{29}\)

\(B=\dfrac{1}{2}-\dfrac{1}{29}\)

\(B=\dfrac{27}{58}\)

B= 3/2x5 + 3/5x8+ 3/8x11 + ... + 3/26x29

B= 1/2 - 1/5 + 1/5 - 1/8 + 1/8 - 1/11 + ... + 1/26 - 1/29

B= 1/2-1/29

B=27/58

⇔ 2 – 4x – 16 < 1 – 5x

⇔ -4x + 5x < 1 – 2 + 16

⇔ x < 15

Vậy tập nghiệm của bất phương trình là: {x|x < 15}