tong sau co chia het cho 3 ko
A= 2+2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^10
Tong sau co chia het cho3 ko
A= 2+2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^10
Có chia hết cho 3
Cứ ghép 2 số lại với nhau, sau đó nhân phân phói ra là xong :
VD : \(2+2^2=2.1+2.2=2.\left(1+2\right)=2.3\)
A = 2 + 22 + 23 + 24 + ... + 210
A = ( 2 + 22 ) + ( 23 + 24 ) + ... + ( 29 + 210 )
A = 2 . ( 1 + 2 ) + 23 . ( 1 + 2 ) + ... + 29 . ( 1 + 2 )
A = 2 . 3 + 23 . 3 + ... + 29 . 3
= ( 2 + 23 + ... + 29 ) . 3 \(⋮\)3
Ta có:A= 2+2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^10=
= (2+2^2)+(2^3+2^4)+(2^5+2^6)+(2^7+2^8)+(2^9+2^10)=
= 6+2^2.(2+2^3)+2^4.(2+2^2)+2^6.(2+2^2)+2^8.(2+2^2)=
=6+ 2^2.6+2^4.6+2^6.6+2^8.6=6.(1+2^2+2^4+2^8)
Vì 6\(⋮\)3 nên 6.(1+2^2+2^4+2^8)\(⋮\)3 hay A\(⋮\)3
khong gia tri xet xem cac tong sau day co chia het cho 9 hay khong 2*3*4*5*6*7+8*9*10*11*12
a) A=2n+22+23+24+25+26+27+28+29+210
Khong tinh gia tri. Hay chung to A chia het cho 3.
b) Tong sau day co chia het cho 5 khong?
B=40+41+4243+44+45+46+47+48+49+410
Tong Say Co chia het cho 3 khong ?
A= 2 + 2^2 +2^3 + 2^4+ 2^5 +2^6 +2^7 +2^8
Đung minh cho 1 tick
\(A=2+2^2+2^3+2^4+2^5+2^6+2^7+2^8\)
\(=\left(2+2^2\right)+\left(2^3+2^4\right)+\left(2^5+2^6\right)+\left(2^7+2^8\right)\)
\(=2\left(1+2\right)+2^3\left(1+2\right)+2^5\left(1+2\right)+2^7\left(1+2\right)\)
\(=\left(1+2\right)\left(2+2^3+2^5+2^7\right)\)
\(=3\left(2+2^3+2^5+2^7\right)\)\(⋮\)\(3\)
bai 1; cho tong M =126 +213+x. Tim x de M chia het cho 3
bai 2; chung to rang tong ; A= 2 + 2 mu 3 + 2 mu 4 + 2 mu 5 + 2 mu 6 +2 mu 7 +2 mu 9 + 2 mu 10 + 2 mu 12 chia het cho 5
Có : 126 chia hết cho 3, 213 chia hết cho 3
Để được M chia hết cho 3 thì x phải chia hết cho 3
Hay gọi là 3k ( k thuộc N)
2.
Hình như đầu bài bài 2 sai
dung do khong sai dau
1) Thuc hien phep tinh:
a) 4^6 × 9^2 / 6^3 × 8^2
b) 5^6 × 15^4 /5^4 × 3^3
c) 3^9 - 2^3 × 3^7 + 2^10 × 3^2 - 2^13 / 3^10 - 2^2 × 3^7 + 2^10 × 3^3 - 2^12
d) (1/9)^10 : (1/3)^20
e) (1/64)^5 × (1/4)^7
2) Chung minh rang:
a)2014^100+2014^99 chia het cho 2015
b) 4^13+32^5-8^8 chia het cho 5
c) 81^27-27^9-9^13 chia het cho 405
Help me!! Pleass!!
a, tong 10^15+8 co chia het cho 2 va 9 khong?
b, tong 10^2010 +8 co chia het cho 9 khong ?
c, 10^2010-4 co chia het cho 3 khong ?
tong day co chia het cho 5 khong \(A=2+2^3+2^4+2^5+2^6+2^7\)
cho A=2+2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^10 chung to A chia het cho 3
A = 2 + 22 + 23 + 24 + ........+ 29 + 210
= ( 2 + 22 ) + ( 23 + 24 ) + ....... + ( 29 + 210 )
= 2 x ( 1 + 2 ) + 23 x ( 1 + 2 ) + ...... + 29 x ( 1 + 2 )
= 2 x 3 + 23 x 3 + .......... + 29 x 3
= 3 x ( 2 + 23 + ...... + 29 )
= > vì 3 chia hết cho 3 nên A chia hết cho 3
A = 2 + 22 + ... + 210
= ( 2 + 22 ) + ( 23 + 24 ) + ... + ( 29 + 210 )
= 2.(1+2) + 23.(1+2) + ... + 29.(1+2)
= 2.3 + 23.3 + ... + 29.3
= 3.(2+23+...+29) chia hết cho 3
A=2+2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^10
A=(2+2^2)+2^2.(2+2^2)+2^4.(2+2^2)+2^6.(2+2^2)+2^8.(2+2^2)
A=6+2^2.6+2^4.6+2^6.+2^8
A=(1+2^2+2^4+2^6+2^8).6
=> A chia hết cho 3