cho A = 1 - 3/4 + (3/4)^2 - ...-(3/4)^2009 + (3/4)^2010
chung to A k phai la so nguyen
1.Tong (hieu) sau la so nguyen to hay hop so
a/5.6.7+8.9 b/5.7.9.11-2.3.7 c/5.7.11+13.17.19 d/4253+1422
2.Hai so nguyen to sinh doi la hai so nguyen to hon kem nhau 2 don vi.Tim hai si nguyen to sinh doi nho hon 50.
3.Cho biet:Neu do tu nhien a(lon hon 1)khong chia het cho moi so nguyen to p ma binh phuong ko vuot qua a(tuc la p2 lon hon hoac bang aĐ thi a la so nguyen to.Dung nhan xet tren cho biet so nao trong cac so 59;121;179;197;217 la so nguyen to?
4.a/So 2009 co la boi cua 41 ko?
b/Tu 2000 den 2020 chi co 3 so nguyen to la 2003;2011;2017.Hay giai thich tai sao cac so le khac trong khoang tu 2000 den 2020 deu la hop so.
5.Goi a=2 . 3 . 4 . 5 . .... . 101. Co phai 100 so tu nhien lien tiep sau deu la hop so ko?
a+2,a+3,a+4,...,a+101.
ai dung kik cho,giup mk nha,ai biet lam bai nao thi lam cung dc,lm het cang tot
Cho A= 2. 4. 6. 8. 10 + 18
a) A co chia het cho 2, cho 3, cho 9 ko? vi sao?
b) A la hop so hay so nguyen to? vi sao?
c) Aco phai la so chinh phuong ko? vi sao?
A chia het cho 2 cho 3 Vì 6 và 18 chia het cho 2va 3
A khong chia het cho 9 vi 2.4.6.8.10 khong chia het cho 9
cho A=3+4+42+...+420 chung minh rang A k phai la so chinh phuong
Bai 1: a)Tim so tu nhien a biet 1960va2002 chia cho a cung co so du la 28
b)Tim 2 sop tu nhien a va b , biet :BCNN(a,b)=300;UCLN(a,b)=15 va a+15=b
Bai 2:a)Tong sau la binh phuong so nao ?
S=1+3+5+7+...+199
b) Cho so ab va so ababab
1)chung to ababab la boi cua ab
2)So 3 va 10101 co phai la uoc cua ababab khong , vi sao?
Bai 3
a)Hay viet them dang sau so 664 ba chu so de nhan duoc sdo co 6 chu so chia het cho 5,9,11
b)Tim so nguyen x thuoc Z biet rang :
(x^2-1)(x^2-4)<0
Bai 4 :tim so nguyen x va y biet: xy-x+2y=3
chung minh E=1+1/2+1/3+1/4+...+1/20 khong phai la so nguyen
CMR:
A=1/22+1/32+1/42+...+1/452 khong phai la so nguyen
Ta có:
\(\frac{1}{2^2}< \frac{1}{1.2},\frac{1}{3^2}< \frac{1}{2.3},...,\frac{1}{45^2}< \frac{1}{44.45}.\)
\(\Rightarrow A=\frac{1}{2^2}+\frac{1}{3^2}+...+\frac{1}{45^2}< \frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{44.45}.\)
\(\Leftrightarrow A< 1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{44}-\frac{1}{45}=1-\frac{1}{45}< 1.\)
Lại có A>0
=>0<A<1
=>A không là số nguyên
a) Cho p va p+2 la cac so nguyen to ( p > 3 ) . Chung minh rang p + 1 chia het cho 6
b) Cho p va p + 4 la cac so nguyen to ( p > 3 ) . Chung minh rang p + 8 la hop so
bai 1
cho bieu thuc A = 5/n+1 voi N THUOC Z
a, de A la phan so thi n co dieu kien gi ?
b , tim tat ca cac gia tri nguyen cua n de gia tri A la 1 so nguyen ?
bai 2
cho bieu thuc M = 6/n-3 voi n thuoc Z .Co bao nhieu gia tri cua n de :
a, M ko phai la phan so
b , M la phan so va cp gia tri nguyen ?
bai 3 viet tap hop cacs so nguyen sao cho :
-12/4 < x <6/3
Bài 1:
a: Để A là phân số thì n+1<>0
hay n<>-1
b: Để A là số nguyên thì \(n+1\in\left\{1;-1;5;-5\right\}\)
hay \(n\in\left\{0;-2;4;-6\right\}\)
A = 3^2+3^4+3^6+...+3^2014 la so nguyen to hay hop so .
Chung minh A chia het cho 10
A la hop so vi tat ca cac so hang cua A deu chia het cho 3