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3 years ago

7

Please help me thanks

2 answers:

rodikova [14]3 years ago

8 0

Answer:

A rational number is a number such as -3/7 that can be expressed as the quotient or fraction a/b of two integers, a numerator q and a non-zero denominator b. Every integer is a rational number: for example, 10 = 10/1.

Advocard [28]3 years ago

7 0

No.

$5 \frac{1}{3}$

First, it is actually a rational number since it can be in a fraction form.
Second, it can be turn into a/b where b≠0

So we can turn from 5 1/3 to 16/3

Note that 16/3 makes infinity decimal but if the infinity decimal can be turnt into a fraction, it will be classified as rational number.

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3 years ago

If our school has about 300 seventh graders, about how many would be expect to watch 4 to

kykrilka [37]

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3 years ago

Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.

Arisa [49]

Answer: $S_n=5(1-\dfrac{1}{n+1})$ ; 5

Step-by-step explanation:

Given series : $[\dfrac{5}{1\cdot2}]+[\dfrac{5}{2\cdot3}]+[\dfrac{5}{3\cdot4}]+....+[\dfrac{5}{n\cdot(n+1)}]$

Sum of series = $S_n=\sum^{\infty}_{1}\ [\dfrac{5}{n\cdot(n+1)}]=5[\sum^{\infty}_{1}\dfrac{1}{n\cdot(n+1)}]$

Consider $\dfrac{1}{n\cdot(n+1)}=\dfrac{n+1-n}{n(n+1)}$

$=\dfrac{1}{n}-\dfrac{1}{n+1}$

⇒ $S_n=5\sum^{\infty}_{1}\dfrac{1}{n\cdot(n+1)}=5\sum^{\infty}_{1}[\dfrac{1}{n}-\dfrac{1}{n+1}]$

Put values of n= 1,2,3,4,5,.....n

⇒ $S_n=5(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+......-\dfrac{1}{n}+\dfrac{1}{n}-\dfrac{1}{n+1})$

All terms get cancel but First and last terms left behind.

⇒ $S_n=5(1-\dfrac{1}{n+1})$

Formula for the nth partial sum of the series :

$S_n=5(1-\dfrac{1}{n+1})$

Also, $\lim_{n \to \infty} S_n = 5(1-\dfrac{1}{n+1})$

$=5(1-\dfrac{1}{\infty})\\\\=5(1-0)=5$

4 0

3 years ago

A bookcase has 6 shelves.

Bezzdna [24]

Answer:

21 books

Step-by-step explanation:

130-4=x

x/6= answer

6 0

3 years ago

Read 2 more answers

What is 4 3/4 of rupee 1

devlian [24]

Answer:

$\frac{19}{4}=Rs 1$

$Rs. 1 = 100 paise$

$\frac{19}{4}=100 paise$

$4.75=100 paise$

$\frac{4.75}{100}=paise$

$0.0475=paise$

i hope this will help you :)

=1,075

Therefore,

\frac{43}{4} =1,075

Hope it helps you!!!

Plz Mark me as a brailiest

Step-by-step explanation:

5 0

3 years ago