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Trava [24]
3 years ago
15

Determine whether the given sequence could be geometric, arithmetic, or neither. if possible, identify either the common ratio o

r the common difference. 4, 2, 1, 1/2
Mathematics
1 answer:
REY [17]3 years ago
7 0

ARITHMETIC CHECK: A sequence is said to be arithmetic if any two consecutive terms differ by the same constant.

So, the test to check if a series is arithmetic is to compute consecutive differences, and see if they all return the same number.

If we subtract the first two terms, we have 2-4 = -2. If we subtract the third and second terms, we have 1-2 = -1.

These two differences returned two different values, so the series is not arithmetic.

GEOMETRIC CHECK: A sequence is said to be geometric if any two consecutive terms are in the same ratio.

So, the test to check if a series is geometric is to compute consecutive ratios, and see if they all return the same number.

If we divide the first two terms, we have

\dfrac{2}{4} = \dfrac{1}{2}

If we divide the third and second terms, we have

\dfrac{1}{2} = \dfrac{1}{2}

Finally, if we divide the last two terms we have

\dfrac{\frac{1}{2}}{1} = \dfrac{1}{2}

So, all ratios return the same number. This means that the series is geometric, and the common ratio is 1/2



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Step-by-step explanation:


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Which expression is equivalent to -2.1 + (-5.9) + (-3.7)?
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4 0
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Part D<br> What is the measurement of angle C?
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Step-by-step explanation:

I think we are missing some information (angle F or B or a side length would be great).

but just the right angles are not enough to calculate specific numbers. they would depend on the angle F or e.g. the side length of AB.

without any further information F and AB can be freely changed without changing the known facts, but it changes also C, B, G

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5 0
3 years ago
You were born, your mother deposited 2000 in an account that pays 5% simple interest. How much would the balance be in your acco
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C

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the formula for simple interest is given as A=P(1+rt), where A is the final balance, P is the initial principal balance (the amount of money that you start out with), r is the annual interest rate, and t is the time

we know that the mom deposited 2000 into an account when the person was born. This is our initial principal balance (the amount of money started out with)

substitute that value into the formula to get:

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we also know the rate, which is 5% and the time, which is 18

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Hope this helps!

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