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,so 102010+8 chia het cho 9 ko?vi sao
b,tong 2100.7.11+381.13.14 la so nguyen to hay hop so?(giai thich)
ai nhanh cho nghin like
cho a=2+2^2+2^3+............+2^2015 Chung minh a ko chia het 7
a co la so chinh phuong ko vi sao
cho a=2+2^2+2^3+............+2^2015 Chung minh a ko chia het 7
a co la so chinh phuong ko vi sao
CO:a=2^1+2^2+2^3+2^4+2^5+2^6+..........2^2010+2^2011+2^2012+2^2013+2^2014+2^2015.
a=2.[2+2^2+2^3+2^4+2^5]+............+2^2010.[2+2^2+2^3+2^4+2^5]
a=2.62+..........+2^2010.62
a=62.[2+.........+2^2010]ko chia het cho 7
Cho tong S=1+2+2^2+2^3+...+2^2015.Hoi S+18 co phai la mon so chinh phuong ko,vi sao
\(S=1+2+2^2+...+2^{2015}\)
\(\Rightarrow2S=2+2^2+...+2^{2016}\)
\(\Rightarrow2S-S=S=2^{2016}-1\)
\(S+18=2^{2016}+18-1=2^{2016}+17\)
Tự làm , đề sai rroi
Cho A = 5+52+53+...+5100
a)so A la so nguyen to hay hop so
b)so A co phai la so chinh phuong khong?
Vì A : 25 , mà 25 = 52 là số chính phương => A là số chính phương
A là hop so vì tận cùng là số 0
theo đường lick này nha,cacvsh giả chi tiết đó: http://olm.vn/hoi-dap/question/236886.html
Cau 4 :
1) So 102011 + 8 chia het cho 9 khong ? Vi sao ?
2) Tim cac chu so a va b de so 13a5b chia het cho 3 va cho 5 .
3) Tong 2100 . 7 . 11 + 381 . 13 . 14 la so nguyen to hay hop so . Vi sao ?
GIUP MINH NHA !
Cho A = 5+52+......+5100
a, Tinh A
b, A la so nguyen to hay hop so ?
c, A co la so chinh phuong ko
\(.5A=5^2+5^3+...+5^{101}\)
\(\Rightarrow5A-A=4A=\left(5^2+5^3+...+5^{101}\right)-\left(5+5^2+...+5^{100}\right)\)
\(\Rightarrow4A=5^{101}-5\)
\(\Rightarrow A=\frac{5^{101}-5}{4}\)
mấy cái còn lại tự làm nha mới nằm viện về ko sung sức lắm :)
\(A=5+5^2+.....+5^{100}\)
\(\Rightarrow5A=5\left(5+5^2+...+5^{100}\right)=5^2+5^3+.....+5^{101}\)
\(\Rightarrow5A-A=\left(5^2+5^3+...+5^{101}\right)-\left(5+5^2+....+5^{100}\right)\)
\(\Rightarrow4A=5^{101}-5\)
\(\Rightarrow A=\frac{5^{101}-5}{4}\)
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
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