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3 years ago

5

Evaluate the geometric series. Please help me out!!!

1 answer:

vredina [299]3 years ago

6 0

Answer:

- 1364

Step-by-step explanation:

The n th term of a geometric series is

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

4 $(-2)^{n-1}$ ← is an n th term

with a = 4 and r = - 2

The sum to n terms of a geometric series is

$S_{n}$ = $\frac{a(r^{n}-1) }{r-1}$ , thus

$S_{10}$ = $\frac{4((-2)^{10}-1) }{-2-1}$

= $\frac{4(1024-1)}{-2-1}$

= $\frac{4(1023)}{-3}$

= $\frac{4092}{-3}$

= - 1364

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A+b=82
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3 years ago

There are white, blue, and red boats in a marina. Three-fourths of the boats in the marina are white, 4/7 of the remaining boats

insens350 [35]

Answer:

There are 84 total boats.

Step-by-step explanation:

In order to find this, we first need to find the fraction which are red. We can do this by multiplying the whole by how many are not white.

1 * 1/4 = 1/4

Now we take that amount and multiply it by the amount that are not blue of the remaining.

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3 years ago

Are the two terms on each tile like terms? Sort the tiles into the appropriate categories.

o-na [289]

Answer:

Like terms: $-7y^2$ and $y^2$ , $0.5kt$ and $-10kt$ , $6$ and $9$

Not like terms: $-4p$ and $p^2$ , $5x$ and $5$ , $3ad$ and $2bd$

Step-by-step explanation:

Two or more terms are called like terms if they have same variables and powers.

$-7y^2$ and $y^2$ are like terms because they have same variable y with same power 2.

$-4p$ and $p^2$ are not like terms because they have same variable y with different powers.

$0.5kt$ and $-10kt$ are like terms because they have same variables kt with same power 1.

$6$ and $9$ are like terms because both are constant.

$5x$ and $5$ are not like terms because one have variable and other is constant.

$3ad$ and $2bd$ are not like terms because they have different variables.

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2 years ago

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svetoff [14.1K]

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m = 2.7 is plugged into the equation to get
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3 years ago

Dali rolled up his painting and placed it in a cylinder 2 inches diameter. If the cylinder is 20 inches long find its volume. Ro

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Answer:

The correct answer is 63 cubic inches.

Step-by-step explanation:

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3 years ago