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zimovet [89]
4 years ago
11

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

Mathematics
1 answer:
11Alexandr11 [23.1K]4 years ago
3 0

Answer:

C

Step-by-step explanation:

The standard form for the explicit formula of a geometric sequence is given by:

a_n=a\cdot(r)^{n-1}

Where a is the initial term, r is the common ratio, and n is the nth term.

Our sequence is: 8, 4, 2, 1...

So, we can see that our initial term or a is 8.

Each subsequent term is half of the previous one. So, our common ratio is 1/2.

Let's substitute 8 for a and 1/2 for r to acquire:

a_n=8\cdot(\frac{1}{2})^{n-1}

So, our answer is C.

And we're done!

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How do you solve this
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Answer:

See below:

Step-by-step explanation:

So, the first step to solving the problem is to find out what type of triangle it is

and what rule of goemetry we can use to solve it.

Finding What Theorem We Can Use

So, the first step is to figure out what theorem we can use to solve the problem and how they can help us. By looking at it, we can see that it is an Isosceles Triangle due to the two sides being equal and 1 side not being equal.

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Since we know this rule, we can solve for the equation.

Solving

We can solve for this by using two things that we know:

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Since we know that, we can solve for the answer:

1)

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Cheers!

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5 0
3 years ago
Sam invests $6000 in two different accounts. The first account paid 12 %, the second account paid 7 % in interest. At the end of
Lunna [17]

Answer:

The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Step-by-step explanation:

Let x be the amount in the account at 12% interest

So, 6000-x is the amount in the second account at 7% interest

SI = \frac{P \times T \times R}{100}

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Second account : SI =\frac{(6000-x) \times 1 \times 7}{100}

We are given that At the end of the first year he had earned $590 in interest.

So, \frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400

So,the amount in the account at 12% interest is $3400

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Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

8 0
4 years ago
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Answer: 22.86

Step-by-step explanation:

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