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3 years ago

Will mark brainliest for whoever answers correctly.

Mathematics

1 answer:

Svetlanka [38]3 years ago

3 0

Answer:

-0.2588 but rounded is -0.26

Step-by-step explanation:

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Type the correct answer in each box. Use sigma notation to represent the following series for the first 10 terms. 3 + (-6) + 12

klemol [59]

Answer:

Kindly check attached picture

Step-by-step explanation:

Given the following :

First term (a) = 3

Second term = - 6

third term = 12

Fourth term = - 24

We can obtain the common ratio of the series using the relation :

(2nd term/ 1st term) = (3rd term/2nd term) = (4th term/ 3rd term) =....

(-6/3) = (12/-6) = (-24/12)

-2 = - 2 = - 2

Further explanation can be found in attached picture

7 0

3 years ago

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

What is 2,345 rounded to the nearest 10

ser-zykov [4K]

2,350 Hope this helped

8 0

3 years ago

Read 2 more answers

Rita bought 4 rulers for $4.00. If r represents the number of rulers purchased, which equation represents this situation?

Wittaler [7]

Answer: 4r = 4

Step-by-step explanation:

Ruth bought 4 rulers and each ruler is to be represented by r. She therefore bought:

= 4r

She bought these for a total of $4.00 so the equation then becomes:

4r = 4.00

Equation representing situation is: 4r = 4

8 0

2 years ago

MORE.FREE.POINTSS.<br><br> "I'm a cowboyy babyy"<br> this ones less points, BUT STILL

Novosadov [1.4K]

Answer:

thx may i have brainliest to plz i so close to next rank

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers