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andriy [413]
2 years ago
12

For each sequence, determine whether it is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic

or geometric, give the next term in the sequence.
1, 8, 27, 81, 243,
Mathematics
1 answer:
12345 [234]2 years ago
8 0

The sequence is a geometric and the next term is 729

<h3>What is a geometric sequence?</h3>

A geometric sequence is a type of sequence which goes from one term to the next by multiplying or dividing by the same value.

The number multiplied or being divided at each stage of a geometric sequence is known as the common ratio.

From the sequence given,

1, 3, 27, 81, 243,

We can see that the common ratio is gotten by multiplying a term by 3 or dividing the next term by 3.

The next term is 243 × 3 = 729

Thus, the sequence is a geometric and the next term is 729

Learn more about a geometric sequence here:

brainly.com/question/1509142

#SPJ1

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Find the length and width of a rectangle that has the given perimeter and a maximum area. perimeter: 244 meters
MissTica
We know that

[perimeter of rectangle]=2*(<span>length+width)
</span>
Let
x-----------> length
y-----------> width
so
P=2*(x+y)-----------> 244=2*(x+y)-----> x+y=122-------> y=122-x

Area=x*y-------> x*(122-x)----> 122x-x²

find the derivative function and equals to zero

122-2x=0-----> 122=2x----------> x=61 m
y=122-x------> y=122-61---------> y=61 m

<span>the maximum area is given by a square
</span>
the answer is
is a square of side 61 m


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3 years ago
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nasty-shy [4]

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Step-by-step explanation:

log(x^2-15)=log(2x)

Cancel log at both sides we get

x^2-15=2x

Collect like terms

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Which equation can be simplified to find the inverse of y = 5x² + 10?
notsponge [240]

Answer:

See below

Step-by-step explanation:

Here is how to start....you didn't include the equations in question, so I do not know what the answer may be

solve for x

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(y-10)/5 = x^2       'sqrt' both sides

± sqrt( (y-10) / 5   = x        change   x's and y's

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