If a is an odd number,then there must exist an integer such
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/12 04:10:18
If a is an odd number,then there must exist an integer such that a²-1=()求数学答案
A.3n,B.5n,C.8n ,D.16n
选择
A.3n,B.5n,C.8n ,D.16n
选择
a²-1=4n,因为 a²-1=(a-1)(a+1),条件给出a是奇数,所以a-1和a+1均为偶数,即 a²-1为4的倍数.又因为(a+1)-(a-1)=2,所以(a+1)/2-(a-1)/2=1,所以(a+1)/2与(a-1)/2为两个相邻的整数,其奇偶性相反,所以[(a+1)/2]×[(a-1)/2]为2的倍数,不是4的倍数.
即﹙ a²-1﹚/4为2的倍数且不为4的倍数,即a²-1为8的倍数不为16的倍数.所以选C.
即﹙ a²-1﹚/4为2的倍数且不为4的倍数,即a²-1为8的倍数不为16的倍数.所以选C.
If a is an odd number,then there must exist an integer such
If p is an odd integer,which of the following is an even int
【GRE数学】If x is an odd integer,for which of the following equ
If“m”is an even integer ,then the following is the sum of th
if y is an integer ,then the least possible value of /23-5y/
If k is a positive even integer,then.
英语翻译1..given that x is an odd number,find and simplify an ex
If is given that N is an integer.Prove that (a) 3(2N-1)+1 is
if "X" is an integer,which of the following will produce an
看不懂the number of primes of which 11 is an integer multipleth
有道英文句子 看不懂 if p is an integer between 1000 and 1030,and if t
if y is a integer,then the least possible value of |23-5y|is