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2 years ago

What is 22 divided by 7?

Mathematics

1 answer:

ella [17]2 years ago

6 0

Answer:

3.1429 or 3 1/7

Step-by-step explanation:

22/7 = 3.1429 or 3 1/7

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For the following telescoping series, find a formula for the nth term of the sequence of partial sums

gtnhenbr [62]

I'm guessing the sum is supposed to be

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}$

Split the summand into partial fractions:

$\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}$

$1=a(5k+4)+b(5k-1)$

If $k=-\frac45$ , then

$1=b(-4-1)\implies b=-\frac15$

If $k=\frac15$ , then

$1=a(1+4)\implies a=\frac15$

This means

$\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}$

Consider the $n$ th partial sum of the series:

$S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)$

The sum telescopes so that

$S_n=\dfrac2{14}-\dfrac2{5n+4}$

and as $n\to\infty$ , the second term vanishes and leaves us with

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17$

7 0

3 years ago

PLEASE HELP THIS ONE IS HARD. WHAT IS 8 TIMES 8??? IVE TRIED ALOT BUT CANT GET IT!

Rainbow [258]

Answer:

8*8=64

Step-by-step explanation:

Don't worry! Keep on trying! I hope this helps! Have a great rest of your day!

4 0

2 years ago

Need help with math homework who can help ?

Softa [21]

What's the problem ?

7 0

2 years ago

Please help i am desperate.

Nezavi [6.7K]

Answer:

3y +9 = perimeter

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Please help answer these questions

vfiekz [6]

Step 1

given

Step 2

$\angle HKM \cong \angle OKM, \angle HMK \cong \angle OMK$

Step 3

$\overline{KM} \cong \overline{KM}$

Reason: Reflexive property

Step 4

ASA

8 0

1 year ago