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Nastasia [14]
4 years ago
8

In two or more complete sentences, describe how series and sequences relate to each other.

Mathematics
1 answer:
olga_2 [115]4 years ago
8 0
The relationship between series and sequences can be defined as follows;
A sequence is defined as the list of numbers which have been written in a definite order, on the other hand, the sum of terms  of an infinite sequence is known as infinite series. Therefore, simply put; a sequence can be defined as an ordered list of numbers while series is the sum of the list of numbers.
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(12a^(2) - 3)/(2)*(2a + 1)^(-2)*((6)/((2a + 1)))^(-1)
Elena L [17]

Answer:

\frac{144a^{4}+144a^{3} - 36 - 12a} {2a+1}\\

Step-by-step explanation:

\frac{(12a^2-3)}{2*(2a+1)^{-2}}*\frac{6}{(2a+1)^{-1} }\\ = \frac{(12a^2-3)}{2 * \frac{1}{(2a+1)^{2} }} * \frac{6}{\frac{1}{2a+1}  }\\ =\frac{(12a^2-3)(2a+1)^{2}}{2} * \frac{6}{2a+1}\\=\frac{(12a^2-3)(2a+1)^{2}}{2} * \frac{6}{2a+1}

= \frac{(12a^2-3)(4a^{2} + 1 + 2 (2a)(1))}{2} * \frac{6}{2a+1}\\= \frac{(12a^2-3)(4a^{2} + 1 + 4a)}{2} * \frac{6}{2a+1}\\= \frac{(12a^2-3)(4a^{2} + 1 + 4a)}{1} * \frac{3}{2a+1}\\= \frac{3(12a^2-3)(4a^{2} + 1 + 4a)} {2a+1}\\\\= \frac{3(12a^2(4a^{2} + 1 + 4a) - 3 (4a^{2}+1+4a)} {2a+1}\\= \frac{3(48a^{4}+12a^{2}+48a^{3}  - 12a^{2} -12 - 4a)} {2a+1}\\= \frac{144a^{4}+36a^{2}+144a^{3}  - 36a^{2} - 36 - 12a)} {2a+1}

= \frac{144a^{4}+36a^{2}+144a^{3}  - 36a^{2} - 36 - 12a} {2a+1}\\= \frac{144a^{4}+144a^{3} - 36 - 12a} {2a+1}\\

6 0
3 years ago
WILL MARK BRAINLIEST IF YOUR ANSWERS ARE CORRECT!!!!!
fgiga [73]

Answer:  1. What are the focus and directrix of a parabola? Parabolas are commonly known as the graphs of quadratic functions. They can also be viewed as the set of all points whose distance from a certain point (the focus) is equal to their distance from a certain line (the directrix).

2.The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle.

Step-by-step explanation:

4 0
3 years ago
Given that A, O & B lie on a straight line segment, evaluate acute
Luba_88 [7]

If the value of x is 10. Then the measure of angle ∠COB will be 56°.

<h3>What is an angle?</h3>

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

Given that A, O, and B lie on a straight line segment.

Then they make a linear angle that is 180 degrees.

Then we have

     ∠AOC + ∠COD + ∠DOB = 180

(3x + 94) + (x + 30) + (2x - 4) = 180

                               6x + 120 = 180

                                         6x = 60

                                           x = 10

Then the measure of angle ∠COB will be

∠COB = ∠COD + ∠DOB

∠COB = (x + 30) + (2x - 4)

∠COB = (10 + 30) + (20 - 4)

∠COB = 40 + 16

∠COB = 56°

More about the angled link is given below.

brainly.com/question/15767203

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5 0
2 years ago
Name the regular polygon that has 12 sides
AnnZ [28]

Answer:

dodecagon

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
2.760
wolverine [178]
Answer. To verify that the decimals are lined up correctly, we must ensure that they are both lined up at the same point. The reason this is done is so that whole numbers will be subtracted from other whole numbers, not decimals.
Extra. Hope this helped, if it’s correct let me know so others can use it :)
Good luck :)
6 0
3 years ago
Read 2 more answers
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