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Makovka662 [10]
3 years ago
15

What is a formula for the nth term of the given sequence? 36, 24, 16...

Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0

Answer:

The formula to find the nth term of the given sequence is 54 · \frac{2}{3} ^{n}

Step-by-step explanation:

The formula for nth term of an geometric progression is :

a_{n} = \frac{a_{1}(r^{n})}{r}

In this example, we have a_{1} = 36 (the first term in the sequence) and

r = \frac{2}{3} (the rate in which the sequence is changing).

Knowing what the values for r and a_{1} are, now we can solve.

a_{n} = \frac{a_{1}(r^{n})}{r} = \frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} } = 54 · \frac{2}{3} ^{n}

Therefore, the formula to find the nth term of the given sequence is

54 · \frac{2}{3} ^{n}

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In the table y is increased 70 for every 1 in x (210/3 = 70) on the graph for every 1 increase on x y increases by 55 (110/2 = 55) so for the graph for x = 11, y =55 x 11 = 605 for the table for x = 11, y = 11*70 = 770 the difference is 770-605 = 165 the 2nd answer is the correct one.
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Answer:

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Step-by-step explanation:

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Answer:

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