Cho A= 1+2020+2020²+2020 ³+…+2020^2020 B= 2020^2021 -1 so sánh A và B 29/09/2021 Bởi Claire Cho A= 1+2020+2020²+2020 ³+…+2020^2020 B= 2020^2021 -1 so sánh A và B
Đáp án: Giải thích các bước giải: A= 2020^0+2020^1+2020^2+……+2020^2020 2A= 2.(2020^0+2020^1+2020^2+…..+2020^2020) 2A= 2020^1+2020^2+2020^3+…….+2020^2020 2A-A=(2020^1+2020^2+2020^3+…..+2020^2020)- (2020^0+2020^1+2020^2+……..+2020^2020) A= 2020^2020-1 mà B=2020^2020-1 => A=B Bình luận
Đáp án:
Giải thích các bước giải:
A= 2020^0+2020^1+2020^2+……+2020^2020
2A= 2.(2020^0+2020^1+2020^2+…..+2020^2020)
2A= 2020^1+2020^2+2020^3+…….+2020^2020
2A-A=(2020^1+2020^2+2020^3+…..+2020^2020)- (2020^0+2020^1+2020^2+……..+2020^2020)
A= 2020^2020-1
mà B=2020^2020-1
=> A=B
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