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12345 [234]
2 years ago
14

Find the sum of the first 10 terms of the given sequence.-3,-15,-75,375,-1875

Mathematics
1 answer:
IgorC [24]2 years ago
8 0

Answer: -7324218

Step-by-step explanation: This is a geometric series because we can see the sequence is constantly decreasing by multiples of 5.

5 is being multiplied.

Sum of geometric progression formula: S_{n}=\frac{a(1-r^{n})}{1-r} \\

Sn = sum of n terms

a = first term in sequence

r = common ratio/multiple

n = number of terms

Therefore: S_{10}=\frac{-3(1-5^{10})}{1-5} = -7324218

<em>brainliest please :)</em>

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Simplify square root of 2 over cube root of 2.
Fed [463]

Answer:

2 to the power of one sixth

Step-by-step explanation:

Assuming you don't already know this, any type of root can be expressed as an exponent. Generally speaking:

\sqrt[n]{x}  =  {x}^{ \frac{1}{n} }

So you can rewrite the given fraction as

\frac{ {2}^{ \frac{1}{2} } }{ {2}^{ \frac{1}{3} } }

and then reduce as you normally would. That is, if the bases of the numerator and denominator are the same, then you can subtract the denominator's exponent from the numerator's exponent like so:

\frac{ {2}^{ \frac{1}{2} } }{ {2}^{ \frac{1}{3} } }  =  {2}^{ \frac{1}{2} -  \frac{1}{3}  }

Since

\frac{1}{2}  -  \frac{1}{3}  =  \frac{3}{6}  -  \frac{2}{6}  =  \frac{1}{6}

the answer is

{2}^{ \frac{1}{6} }  \: or \:  \sqrt[6]{2}

3 0
3 years ago
Read 2 more answers
Can someone help me with this?
erik [133]

The equilibrium price is $12.

<h3>What is the equilibrium price ?</h3>

Equilibrium is the point where the quantity demanded is equal to the quantity supplied. The price at equilibrium is known as the equilibrium price and the quantity at equilibrium is known as the equilibrium quantity.

When shown on a graph, equilibrium is the point where the quantity demanded curve is equal to the quantity supplied curve.

When there is equilibrium, the equation of quantity demanded would be equal to the equation of quantity supplied.

-280 + 40p = 800  - 50p

In order to determine the value of p, take the following steps:

Combine similar terms: 800 + 280 = 40p + 50p

Add similar terms = 1080 = 90p

Divide both sides of the equation by 90 : 1080 / 90 = 12

To learn more about equilibrium, please check: brainly.com/question/26075805

#SPJ1

7 0
1 year ago
Can someone be my friend please!!!
KIM [24]

Answer:

no problem sure!

Step-by-step explanation:

;D

4 0
3 years ago
Help me, please! I need to start my new semester today so please helpppp!!!!!
Vadim26 [7]

Answer:

3/6

Step-by-step explanation:

I think it is asking for an answer choice equal to 1/2, and 3/6 is equal to 1/2.

Do you have a picture of the actual question?

6 0
2 years ago
(25 points) plz answer ASAP Use the Points in the figure to name the diagram.
Elodia [21]

I believe its B but I'm not completely sure

7 0
3 years ago
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