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3 years ago

Solve for m: 2m² + 16 = 2m

Mathematics

1 answer:

Goshia [24]3 years ago

5 0

Answer: m = 16

Step-by-step explanation:

2m² + 16 = 2m

2m² - 2m = 16

m = 16

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Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 t

Rzqust [24]

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

<h3>What is sequence ?</h3>

Sequence is collection of numbers with some pattern .

Given sequence

$a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20$

We can see that

$\frac{a_1}{a_2}=\frac{-10}{5}=-2\\$

and

$\frac{a_2}{a_3}=\frac{20}{-10}=-2\\$

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now $n^{th}$ term of this Geometric progression can be written as

$T_{n}= 5\times(-2)^{n-1}$

So summation of 15 terms can be written as

$\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

To learn more about Geometric progression visit : brainly.com/question/14320920

8 0

2 years ago

You have $65 to spend on party favors. On the internet, you find visors that cost that cost $6 each. The shipping and handling c

olchik [2.2K]

Answer:

10 visors

Step-by-step explanation:

Make an equation

Each visor, v costs $6, and there is a $5 fee regardless of the amount of visors purchased. This must be equal to $65

6v+5=65

Now, solve for v

Subtract 5 from both sides

6v=60

Divide both sides by 6

v=10

You can buy 10 visors

6 0

3 years ago

Read 2 more answers

The edge of a cube measures 3.5 x 10 ^ -2 meters. What is the volume of the cube in cubic meters? WRITE Your ANSWERS IN SCIENTIF

Crank

The volume of given cube is: $4.29 * 10^{-5}$ cubic meters

Step-by-step explanation:

Volume of a cube is given by:

$V = a^3$

Given

Edge of the cube = $3.5*10^{-2}$

Putting the value of edge

$V = (3.5*10^{-2})^3\\V = 42.875 * (10^{-2})^3\\V = 42.9 * 10 ^{-2*3}\\V = 42.9 * 10^{-6}\\V = 4.29 * 10 * 10 ^{-6}\\V = 4.29 * 10^{-5}\ cubic\ meters$

The volume of given cube is: $4.29 * 10^{-5}$ cubic meters

Keywords: Volume, cube, scientific notation

Learn more about scientific notation at:

#LearnwithBrainly

7 0

3 years ago

How many gallons of water did niles pour into the tank each minute? Please help me asap

iren [92.7K]

Step-by-step explanation:

fdjdjdjdnfjfjfjfjjfkfjf

3 0

3 years ago

A carpenter bought a piece of wood that was 112 centimeters long. Then he sawed 24.53 centimeters off the end. How long is the p

saul85 [17]

Answer:

87.47 cm

Step-by-step explanation:

112-24.53 is 87.47

8 0

3 years ago