Toán Lớp 6: Cho S=1+3+3²+3³+3⁴+3⁵+…+3²⁰²¹.Chứng minh rằng S chia hết cho 13
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Toán Lớp 6: Cho S=1+3+3²+3³+3⁴+3⁵+…+3²⁰²¹.Chứng minh rằng S chia hết cho 13
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S=(1+3+3^2)+(3^3+3^4+3^5)+…………………..+(3^2019+3^2020+3^2021)
S=1.(1+3+3^2)+3^3.(1+3+3^2)+…………………..+3^2019.(1+3+3^2)
S=1.13+3^3. 13+………………….+3^2019. 13
S=13.(1+3^3+……………….+3^2019)
Vì 13vdots13
=>Svdots13