3,5,-5,…The first term in the sequence of numbers shown above is 3.Each even-numbered term is 2 more than the previous term and each odd-numbered term,after the first,is -1 times the previous term.For example,the second term is 3+2,and the third term is (-1)*5.What is the 55th term of the sequence?A.-5 B.-3 C.-1 D.3 E.5这道题目我不是很看得懂.额.Each even-numbered term is 2 more than the previous term这句这题来自SAT OG P398 Q13
3,5,-5,…
The first term in the sequence of numbers shown above is 3.Each even-numbered term is 2 more than the previous term and each odd-numbered term,after the first,is -1 times the previous term.For example,the second term is 3+2,and the third term is (-1)*5.What is the 55th term of the sequence?
A.-5 B.-3 C.-1 D.3 E.5
这道题目我不是很看得懂.额.Each even-numbered term is 2 more than the previous term这句
这题来自SAT OG P398 Q13
Each even-numbered term is 2 more than the previous term and each odd-numbered term, after the first, is -1 times the previous term.
每一个排序偶数的数字都比前一个数字多二
每一个排序奇数的数字都是前一个数字的相反数(-1倍)
找规律:3,5,-5,-3,3,5,-5...所以四个以组循环的
第55个应该是52+3个,第三个应该是-5
选择A
第一个数字是3。从第二个数字开始,序列是偶数的数等于前面一个数+2,比如5=3+2, 序列是奇数的数等于前面一个数乘-1,比如 -5=5*-1,问你第55个数字是多少。
解法:
你按照规则,开始写
3,5,-5,-3,3,...
也就是说4个数字之后就开始循环,55/4,余3,那么就是循环数列的第三个数 -5
选A
同学,这道题实际上是非常简单滴...因为你接着写下去,所有数字依次是3,5,-5,-3,3,5,-5,-3,3.发现3,5,-5,-3形成了一个循环...55除以4,等于13余3,所以就是-5啦
Each even-numbered term is 2 more than the previous term意思就是每个偶数项都比前面的数大2,比如,5是第二项,是偶数项,所以他比3大2,-5是奇数项,所以他是前面的数,也就是5的-1倍,明白?