Question

Vă rogg este urgenttt ❤❤❤❤ dau coroanaaaaa❤❤❤❤❤❤
​

Answer 1

Răspuns:

Explicație pas cu pas:

1.

1 + 0 + 2 022 + 1 = 2 024

2.

1 + 2 + 3 + ... + 2 022 = 2 022*2 023/2 = 1 011*2 023 = 2 045 253

3.

4^1011 : 2 = 2^2022 : 2 = 2^2021

4.

[(x + 2021)*2021 - 2021] : 2021 = 2022

(x + 2021)*2021 - 2021 = 2021*2022

(x + 2021)*2021 = 2021*2022 + 2021 = 2021*(2022 + 1) = 2021*2023

x + 2021 = 2021*2023 : 2021 = 2023

x = 2023 - 2021 = 2

5.

S = 1 + 2 + 2^2 + ... + 2^2022

2S = 2 + 2^2 + 2^3 + ... + 2^2023

2S - S = 2 + 2^2 + 2^3 + ... + 2^2023 - 1 - 2 - 2^2 - ... - 2^2022

S = 2^2023 - 1

U(2^1) = 2

U(2^2) = 4

U(2^3) = 8

U(2^4) = 6

U(2^5) = 2

ultima cifra se repeta din 4 in 4

2023 : 4 = 505 rest 3

2^2023 se termina in 8

U(S) = 8 - 1 = 7

6.

patrate perfecte de 2 cifre 16; 25; 36; 49; 64; 81

cuburile perfecte de 2 cifre 27; 64

ab = 64

6 + 4 = 10

7.

2021 = 43*47 numar compus

8.

abc + bca + cab + 24 = 2022

100a + 10b + c + 100b + 10c + a + 100c + 10a + b = 2022 - 24

111a + 111b + 111c = 1998

a + b + c = 1998 : 111 = 18

9.

a = 3^203 = 3^3*3^200 = 27*9^100

b = 2^302 = 2^2*2^300 = 4*8^100

27 > 4

9^100 > 8^100

a > b