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3 years ago

Why are arithmetic sequences discrete data?

Mathematics

2 answers:

gulaghasi [49]3 years ago

7 0

Answer:

A sequence is a discrete structure used to represent an ordered list.

Step-by-step explanation:

Discrete values are values between the terms if the sequences are not included in the sequence. If you collect all the terms of the sequence into a set, that set will always be discrete, because there's only countably many of them, and every interval is uncountable. So in that sense, yes, sequences are discrete. A sequence is a discrete structure used to represent an ordered list. A sequence is a function from a subset of the set of integers (usually either the set {0,1,2,. . .} or {1,2, 3,. . .}to a set S. We use the notation an to denote the image of the integer n. We call an a term of the sequence.

schepotkina [342]3 years ago

3 0

Answer:

If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Step-by-step explanation:

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Express a decimal number ( ie 0.768) - process description please - as a rational number (96/125)?

Stels [109]

The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as

$1\cdot10^2+2\cdot10^1+3\cdot10^0+4\cdot10^{-1}+5\cdot10^{-2}+6\cdot10^{-3}$

$10^{-n}=\dfrac1{10^n}$ for any $n$ , so the above is the same as

$100+20+3+\dfrac4{10}+\dfrac5{100}+\dfrac6{1000}=\dfrac{100000+20000+3000+400+50+6}{1000}=\dfrac{123456}{1000}$

Similarly, we can write

$0.768=\dfrac{768}{1000}$

Now it's a question of reducing the fraction as much as possible. We have $\mathrm{gcd}(768,1000)=8$ so

$\dfrac{768}{1000}=\dfrac{96\cdot8}{125\cdot8}=\dfrac{96}{125}$

5 0

3 years ago

What will be the result when each term sin2theta+cos2theta =1 is divided by sin2theta

Len [333]

Answer: Did you copy and paste this because this just hits different. message me if i misunderstood this.

Step-by-step explanation:

3 0

3 years ago

DO,K = (6, 12) (12, 24) The scale factor is _____. 1/2 2 4 3/2

SVEN [57.7K]

~Hello There!~

12/6 = 2

24/12 = 2

The scale factor is 2.

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤

4 0

3 years ago

Read 2 more answers

Is my answer choice correct ?

77julia77 [94]

Answer:

Yes that's correct

4 0

3 years ago

What is the answer to 2 3/4a =<br> 19 1/4

sukhopar [10]

Convert the mixed numbers to the improper fractions:

$2\dfrac{3}{4}=\dfrac{2\cdot4+3}{4}=\dfrac{11}{4}\\\\19\dfrac{1}{4}=\dfrac{19\cdot4+1}{4}=\dfrac{77}{4}$

$2\dfrac{3}{4}a=19\dfrac{1}{4}\\\\\dfrac{11}{4}a=\dfrac{77}{4}\qquad\text{multiply both sides by 4}\\\\\not4^1\cdot\dfrac{11}{\not4_1}a=\not4^1\cdot\dfrac{77}{\not4_1}\\\\11a=77\qquad\text{divide both sides by 11}\\\\\boxed{a=7}$

5 0

4 years ago