Question

so sánh (2+1)(2^2+1)(2^4+1)....(2^100+1)

và 2^100

Answer 1

chỉnh lại đề: so sánh ..... và    2²⁰⁰

\(\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)...\left(2^{100}+1\right)\)

\(=\left(2-1\right)\left(2+1\right)\left(2^2+1\right)\left(2^4+1\right)...\left(2^{100}+1\right)\)

\(=\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)...\left(2^{100}+1\right)\)

\(=\left(2^4-1\right)\left(2^4+1\right)...\left(2^{100}+1\right)\)

\(=\left(2^{100}-1\right)\left(2^{100}+1\right)=2^{200}-1< 2^{200}\)

Answer 2

cảm ơn bạn nha mình viết nhầm đề bài