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Arithmetic

发布日期:2019-02-16 21:55:00编辑:音乐人

概括:这道题是谷斩哪同学的课后英语练习题,主要是关于Arithmetic,指导老师为晏老师。

题目:Arithmetic

解:

(1)We will call a sequence an arithmetic sequence if there is a common difference

意思是我们称一个有相等差别的数列为算术数列,其实说白了就是我们的等差数列

如1,3,5,7,9.

(2)A Geometric Sequence is a sequence which the ratio of the common terms is equal.

The general term is

an = a1 * r^(n-1)

意思是:"几何数列就是数字间是同等比例的顺序"

说白了就是我们常说的等比数列

如:3,6,12,24,48...

就是3*2^(n-1)

参考资料里非常详细,不过是英文版的,有不明白的请来信息

举一反三

例1: 在等差数列(geometricsequences)中,要怎么算有几个term.例如5.10.20.40...2560,怎么算有多少个?我错了,这不是等差数列,是几何序列,要怎么求?[数学练习题]


思路提示:

5*2^(n-1)=2560

2^(n-1)=512

n=10

例2: Sequences问题Sequencesthatarepossiblebutdonotoccuryetarecalleda_________gap,e.g./blik/,/bilk/,/klib/,and/kilb/.[英语练习题]


思路提示:

a bleak gap

例3: SequencesandSeries(001)Ifthefirst,fifthandtenthtermsofanarithmeticprogressionareingeometricprogressionandthesumofthesecondandeighthtermsis20,findthefirsttermandthe(non-zero)commondifference.[英语练习题]


思路提示:

Solution:let the geometric progression a、a+4d and a+9d.

∴q^2=(1+4d/a)^2=1+9d/a.

∴d/a=1/16,or d/a=-1/16.

When d/a=-1/16,it is not to fit this question .

So d/a=1/16.

∴ a=16d.

∵(a+q)+(a+7q)=20

∴a+4d=10

∵20d=10

∴d=1/2

∴ a=8

例4: 【sequences和series的区别explain和interpret的区别】[英语练习题]


思路提示:

difference between sequences and series

A series is a set of numbers to work with,which may vary as the problem changes.

A sequence is a set of numbers which must be in the same order and they do not vary.

The sequence may not be in a "logical" order such as 123.They may be 132 or 213,but they always present in the same order.

The series can be any numbers but they may present out of "order".These numbers can present without some of the "logical" numbers being present such as 124.If the problem changes,the numbers might in the series.If the problem changes and the "2" is no longer needed,the series can change to 134.In this case,the series changes to fit the problem...the sequence is always in the same order and uses the same number.

difference between explain and interpret

Interpret is the way you personally understand a statement.

Explain is pretty self explanatory,it is when tell somebody something in detail.

例5: 求数学定义翻译(有关arithmeticmean和geometricmean的)如题,看到arithmeticmean的英文定义,但不知道中文是什么意思,求翻译.原句如下:ifthereisonetermfallingbetweentwogiventermsofanarithmeticsequence[英语练习题]


思路提示:

arithmetic mean的意思是算数平均数,或者等差中项

if there is one term falling between two given terms of an arithmetic sequence,it's called arithmetic mean.

如果某一个项落在一个算术序列的两个给定值之间,则称为算术平均数.

geometric mean解释为几何平均数,或者等比中项

if there is one term falling between two given terms of an geometric sequence,it's called geometric mean.

如果某一个项落在一个几何序列的两个给定值之间,则称为几何平均数.

相关思考练习题:

题1:sybase报错“ Arithmetic overflow occurred”,请问...

点拨:算术溢出,超过变量范围了,用排除法检查下看是哪个地方的问题 你的@ip_long 是什麼类型?改成big int 试试big int 范围是-2的63次方 和 2的63次方 - 1

题2:ISE报错" Warning: There is an 'U'|'X'|'W'|'Z'|'...

点拨:仿真时是要赋初值的问题。 例如在architecture上面,component定义下面直接写上 signal CLKOUT : STD_LOGIC:=‘0’; 这样就行

题3:求数学定义翻译(有关arithmetic mean和geometric ...

点拨:arithmetic mean的意思是算数平均数,或者等差中项 if there is one term falling between two given terms of an arithmetic sequence, it's called arithmetic mean. 如果某一个项落在一个算术序列的两个给定值之间,则称为算术平均数。 geome...

题4:什么时候会出现arithmeticexception

点拨:ArithmeticException 当出现异常的运算条件时,抛出此异常。例如,一个整数“除以零”时,抛出此类的一个实例。 NullPointerException 中文名:空指针异常。 当应用程序试图在需要对象的地方使用 null 时,抛出该异常。这种情况包括: 调用 null 对...

题5:calculation arithmetic怎么区别?!

点拨:calculation 是计算的意思,比如计算器就是calculator arithmetic 是算术的意思,我们小学学的算术就是用arithmetic,指学科用这个。

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