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A = 1 + 3 + 32 + 33 +...+ 32011 + 32012
A = ( 1 + 3 + 32 ) + ( 33 + 34 + 35 ) +...+ ( 32010 + 32011 + 32012 )
A = ( 1 + 3 + 32 ) + 33 . ( 1 + 3 + 32 ) +...+ 32010 . ( 1 + 3 + 32 )
A = 13 + 33 . 13 +...+ 32010 . 13
A = 13 + ( 33 +...+ 32010 ) . 13
Vì 13 \(⋮\)13 nên 13 + ( 33 +...+ 32010 ) . 13 \(⋮\)13
hay A \(⋮\)13
~ Hok tốt ~
Ta có :
\(A=75\left(4^{10}+4^9+...+1\right)+25\)
\(\Rightarrow A=75.4^{10}+75.4^9+....+75.4+75.1+25\)
\(\Rightarrow A=300.4^9+300.4^8+....+300+100\)
=> A chia hết cho 100
1.do => did 6 cut => cut 11 buy => bought 16 think => thought
2.teach => taught 7 put => put 12 have => had 17 see => saw
3 send => sent 8 give => gave 13 take => took 18 eat => ate
4 spend => spent 9 write => wrote 14 go => went 19 sing => sang
5 begin => began 10 be => was/were 15 make => made 20 wear => wore
Group 1: Language | Group 2: Coutry | Group 3: Activities | Group 4: Weather |
- Rusian - English - Chinese - Vietnamese - Germarr |
- Rusia - England - China - Vietnam - Germany |
- Tennis - Soccer - Jogging - Playing - aerobics |
- Shining - Cool - Windy - Teperature - Raining |
em xin gop y the nay :
day la phan TA chu ko phai la Toan, mong anh/chi thong cam
neu can anh chi co the la thanh vien trong Online Math
EM XIN CAM ON
III. Give the opposite adjectives:
1. good. . . . . . .><bad . . . . . . . . . . . . . .
2.careful. . . . ><careless. . . . . . . . . . . . . . .
3. slow. . . . . .><fast . . . . . . . . . . . . . .
4. hard. . . . ><easy. . . . . . . . . . . . . . .
5. stupid. . . .><intelligent
6. Ugly. . . . . .><beautiful . . . . . . . . . . . . . . . . . .
7. easy. . . . . . ><difficult. . . . . . . . . . . . . . . . . .
8, sad. . . ><happy. . . .
9. late. . .><early
10 boring. . . . ><exciting. . . . . . . . . . . . . .
11, young. . . . . . . .><old . . . . . . . . . . .
12.small. . . . . . . .><big . . . . . . . . . . . .
13. thin. . .><fast . . . . .
14 strong. . . . . . ><weak. . . . . . . . . . . .
15. cold. . . . . . . . .><hot . . . . . . . . . . . . .
16. rich. . . . . . . . . .poor . . . . . . . . . . .
17, new. . . . . . . . . .><old. . . . . . . . . . . 18, tall><short
19, expensive. . . . . .><cheap . . . . . . . 20. clean. . . . . .><dirty . . . . . . . . . . . . . . 21. short...><long.....
III
1, good >< bad
2, careful >< careless
3, slow >< fast
4, hard >< soft
5, stupid >< clever
6, ugly >< beautiful
7, easy >< difficult
8, sad >< happy
9, late >< early
10, boring >< exciting
11, young >< old
12, small >< big
13, thin >< fat
14, strong >< slim
15, cold >< hot
16, rich >< poor
17, new >< old
18, tall >< short
19, expensive >< cheap
20, clean >< polluted
21, short >< tall
Ta có : 87 - 218 = (23)7 - 218
= 221 - 218
= 218(23 - 1)
= 218.7
= 217.7.2 = 217.14 \(⋮14\)
=> \(8^7-2^{18}⋮14\left(\text{đpcm}\right)\)