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A = 2 + 22 + 23 + 24 + ... + 259 + 260 + 52021
= (2 + 23) + (22 + 24) + (25 + 27) +... + (257 + 259) + (258 + 260) + 52021
= 2(1 + 22) + 22(1 + 22) + 25(1 + 22) + ... + 257(1 + 22) + 258(1 + 22) + 52021
= (1 + 22)(2 + 22 + 25 + ... + 257 + 258) + 52021
= 5(2 + 22 + 25 + ... + 257 + 258) + 52021
= 5(2 + 22 + 25 + ... + 257 + 258 + 52020) \(⋮\)5
\(2+2^2+2^3+2^4+...+2^{59}+2^{60}+5^{2021}\)
\(=\left(2+2^3\right)+\left(2^2+2^4+\right)+\left(2^5+2^7\right)+...+\left(2^{57}+2^{59}\right)+\left(2^{58}+2^{60}\right)+5^{2021}\)
\(=2\left(1+2^2\right)+2^2\left(1+2^2\right)+2^5\left(1+2^2\right)+...+2^{57}\left(1+2^2\right)+2^{58}+\left(1+2^2\right)+5^{2021}\)\(=\left(1+1^2\right)\left(2+2^2+2^5+...2^{57}+2^{58}\right)+5^{2021}\)
\(=5\left(2+2^2+2^5+...+2^{57}+2^{58}\right)+5^{2021}\)
\(=5\left(2+2^2+2^5+...+2^{57}+2^{58}+5^{2021}\right)⋮5\)
\(\text{Hok tốt!}\)
\(\text{@Kaito Kid}\)
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312 : 0,1= 3120
0,53 : 0,01 = 53
15,88:: 0,001 = 15880
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Chiều cao của thửa ruộng hình thang là:
\(20\times2\div4=10\left(m\right)\)
Diện tích thửa ruộng ban đầu là:
\(\left(20+5\right)\times10\div2=125\left(m^2\right)\)
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