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Digiron [165]
3 years ago
7

wat is the explicit formula for the geometric sequence with this recursive formula? a1=-6 and an=an-1*(1/4)

Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

an = -6*(1/4)^(n-1)

Step-by-step explanation:

We have that the recursive formula for the given geometric sequence is:

a1 = -6

an = (an-1) * (1/4)

With the above we can assume that:

r = 1/4

following the rule of the explicit formula that is given by:

an = a1 * (r) ^ (n-1)

we substitute and we have:

an = -6 * (1/4) ^ (n-1)

Therefore the explicit formula from the given data would be:

an = -6 * (1/4) ^ (n-1)

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fgiga [73]

The volume of the box made by cardboard box company which has a depth of n, a height of 2n+1, and a width of 3n+2, is 6n³+7n²+2n

<h3>What is of volume of rectangular prism?</h3>

Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.

Volume of a rectangular prism is the product of its width, height and length.

V=w×h×l

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.

A cardboard box company designs all of its boxes suc that they have the measure of depth of n, a height of 2n+1, and the measure of width of 3n+2.Thus, the volume of this box is,

V=w×h×l

V=(3n+2)×(2n+1)×(n)

V=(3n+2)×(2n²+n)

V=6n³+3n²+4n²+2n

V=6n³+7n²+2n

Thus, the volume of the box made by cardboard box company which has a depth of n, a height of 2n+1, and a width of 3n+2, is 6n³+7n²+2n

Learn more about the volume of a rectangular prism here;

brainly.com/question/4016105

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4 0
2 years ago
I need to simplify<br><br>3 + 4 10 -8<br><br>and<br><br>(3+4)(10-8)
myrzilka [38]

Answer: 14

Step-by-step explanation: (3+8)*(10-8) = 14

5 0
2 years ago
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AVprozaik [17]

Answer:

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3 years ago
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The experimental probability that Josie dad gets home from work between 5 p.m. and 6 p.m. is equal to 5/8 . About what percent o
Veseljchak [2.6K]

Answer:

62.5%

Step-by-step explanation:

In this case we have the information we need to calculate the percentage because they give us the necessary experimental probability, we only have to pass the probability to its percentage form.

We know that probability can be converted to a percentage by multiplying the value of probability by 100, like so:

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In other words, the probability that it will arrive at that time is 62.5%

5 0
3 years ago
What is the number -37,860,000 written in scientific notation
miv72 [106K]

Answer:

-3.786 × 10^7

Step-by-step explanation:

Put an decimal behind a number 1-10

but keep the negative sign

so you should get

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Then you count how many numbers are to the right of the decimal which is 7.

That number will become the exponent and then you take away the zeros

You should then have

-3.786 × 10^7 as your answer.

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3 years ago
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