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2 years ago

Use explicit formula to find the 10th of each geometric sequence

Mathematics

1 answer:

Sindrei [870]2 years ago

3 0

Answer:

1. 1*9^(10-1) = 387,420,489

2.2*4^(10-1) = 524,288

Step-by-step explanation:

The explicit formula for a geometric sequence is a1 * r^n-1

Where a1 is your first term, r is your ratio, and n is the amount of terms you want in the sequence

To solve for the 10th number in the sequence, we simply plug 10 in for n.

Hope this helps

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WHAT TWO EQAUL NUMBERS ADD TO THE EVEN NUMER 40

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Step-by-step explanation:

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If kelley has 273626256 steps and denna has 227963762 how much steps do they get in all

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Rachel ate 1 4/6 brownies, and brandy ate 6/7 of a brownie. how many brownies did they eat altogether?

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Answer:

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Step-by-step explanation:

1 4/6 + 6/7

Change 1 4/6 into an improper fraction

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3 years ago

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In 2012 your car was worth $10,000. In 2014 your car was worth $8,850. Suppose the value of your car decreased at a constant rat

monitta

Answer:

The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:

$f(t) = 10000(0.9407)^t$

Step-by-step explanation:

Value of the car:

Constant rate of change, so the value of the car in t years after 2012 is given by:

$f(t) = f(0)(1-r)^t$

In which f(0) is the initial value and r is the decay rate, as a decimal.

In 2012 your car was worth $10,000.

This means that $f(0) = 10000$ , thus:

$f(t) = 10000(1-r)^t$

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2014 - 2012 = 2, so:

$f(2) = 8850$

We use this to find 1 - r.

$f(t) = 10000(1-r)^t$

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$(1-r)^2 = \frac{8850}{10000}$

$(1-r)^2 = 0.885$

$\sqrt{(1-r)^2} = \sqrt{0.885}$

$1 - r = 0.9407$

Thus

$f(t) = 10000(1-r)^t$

$f(t) = 10000(0.9407)^t$

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MissTica

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