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SpyIntel [72]
3 years ago
12

This geometric sequence? What is the explicit formula for 8, 4, 2, 1, ...

Mathematics
1 answer:
scoundrel [369]3 years ago
5 0

Answer:

D

Step-by-step explanation:

the first term is 8, the ratio is 1/2 ( 8*1/2 = 4, 4*1/2 = 2, 2*1/2 = 1)

the formula for an explicit geometric formula is :

a_{n} = a_{1} * r^{(n-1)}

plug in your numbers :

a_{n} = 8 * (\frac{1}{2}) ^{(n-1)}

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What is the value of x? 42 45 3 15
mylen [45]

Answer:

125 is the value of the question

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Priya has completed 9 exam questions. This is 60% of the questions on the exam. How many questions are on the exam?
USPshnik [31]

the whole exam will be 100%, and let's say that's "x" questions, but we also know that 9 is 60% of that so

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 9&60 \end{array}\implies \cfrac{x}{9}=\cfrac{100}{60}\implies \cfrac{x}{9}=\cfrac{5}{3}\implies 3x=45 \\\\\\ x=\cfrac{45}{3}\implies x=15

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3 years ago
Mrs. Hartill drove 3.1 miles to the grocery store, then 4.25 miles to the salon, and 10.8 miles to her sons house. How many mile
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Step-by-step explanation:

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Solve for x :<br><br>14x + 2 = 9x - 3​
exis [7]
The answer for your question is x=-1

8 0
2 years ago
A set of a thousand numbers has a mean of zero.
Alona [7]

We want to find the mean of two elements in a set, given that we know the other elements of the set and the mean of the whole set.

The answer is: -490

-----------------------------

For a set with N elements {x₁, x₂, ..., xₙ} the mean is given by:

M = \frac{x_1 + x_2 + ... + x_n}{N}

Here we know that:

  • The mean of the set is 0.
  • The set has 1000 elements.
  • 998 of these elements are ones, the other two are A and B.

We want to find the mean of the values of A and B.

First, we can start by writing the equation for the mean:

\frac{1 + 1 + 1 + ... A + B}{1000}  = 0

We can rewrite this as:

1 + 1 + 1 +... + A + B = 0

And we have 998 ones, then:

1 + 1 + 1 +... + A + B = 998 + A + B = 0\\\\B = - 998 - A

Now we have B isolated.

With this, the mean of A and B can be written as:

\frac{A + B}{2}  = \frac{A - 980 - A}{2} = -490

So we can conclude that the mean of the other two numbers is -490.

If you want to learn more, you can read:

brainly.com/question/22871228

5 0
2 years ago
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