A=[1/1+1/2+....+1/98]*2*4*...*98*3*33=A=[1/1+1/2+....+1/98]*2*4*....*98*99\(⋮\)99

\(A=\left(\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{98}\right)\times2\times3\times4\times...\times98\)

\(A=\left(\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{98}\right)\times2\times3\times4\times...\times33\times...\times98\)

\(A=\left(3\times33\right)\times\left(\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{98}\right)\times2\times4\times...\times98\)

\(A=99\times\left(\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{98}\right)\times2\times4\times...\times98\)

Vậy \(A⋮99\)(Vì A có thừa số 99)

đợi mình tí bài này minh làm rồi

Ta có ; \(A=3+3^2+3^3+.....+3^{100}\)

                \(=\left(3+3^2+3^3+3^4+3^5\right)\)

1-3+3^2-3^3+...+3^98-3^99=(1-3+3^2-3^3)+(3^4-3^5+3^6-3^7)+...+(3^96-3^97+3^98-3^99)

=-20+3^4.(1-3+3^2-3^3)+...+3^96.(1-3+3^2-3^3)

=-20+3^4.(-20)+...+3^96.(-20)

=-20.(1+3^4+...+3^96)

=-5.4.(1+3^4+...+3^96)

=>1-3+3^2-3^3+...+3^98-3^99 chia  hết cho 4

a=(1-3+3^2-3^3)+(3^4-3^5...+(3^96-3^97+3^98-3^99)

a=(1-3+3^2-3^3)+3^4x(1-3+3^2-3^3)+...+3^96x(1-3+3^2-3^3)

a=(-20)+3^4x(-20)+...+3^96x(-20)

a=(-20)+(3^4+3^8+...+3^96)

vi-20chia het cho 4=>achia hetcho 4

vi A chia het cho 4 => A chia het cho 4 .(^,^)

rối mắt quá hà !

\(\text{Ta có:}\)

\(B=1+3+3^2+3^3+3^4+3^5+3^6+3^7+.......+3^{96}+3^{97}+3^{98}+3^{99}\)

\(=\left(1+3+3^2+3^3\right)+\left(3^4+3^5+3^6+3^7\right)+.....+\left(3^{96}+3^{97}+3^{98}+3^{99}\right)\)

\(=40+\left[3^4\left(1+3+3^2+3^3\right)\right]+.....+\left[3^{96}\left(1+3+3^2+3^3\right)\right]\)

\(=40+3^4\cdot40+....+3^{96}\cdot40\)

\(=40\left(1+3^4+....+3^{96}\right)\)

\(\Rightarrow B⋮40\)

A = (3+3^2+3^3+3^4)+(3^5+3^6+3^7+3^8)+.....+(3^97+3^98+3^99+3^100)

   = 120+3^4.(3+3^2+3^3+3^4)+.....+3^96.(3+3^2+3^3+3^4)

   = 120+3^4.110+....+3^96.120

   = 120.(1+3^4+.....+3^96) chia hết cho 120

=> ĐPCM

Tk mk nha

ta co A=(3¹+3²+3³+3⁴)+...+(3⁹⁷+3⁹⁸+3⁹⁹+3¹⁰⁰⁾

^{tớ gợi ý nhiêu đây thôi}

Giải

A=(1+3^1)+(3^2+3^3)+...+(3^98+3^99)

A=4.1+3^2.(1+3^1)+...3^98.(1+3^1)

A=4.1+3^2.4+...3^98.4

A=4.(1+3^2+3^4+...+3^98)

=> A chia hết cho 4

tao chap het