3 years ago

!!!!!!!!!!!!pls answer!!!!!!!!!!!(i'm being timed)

Mathematics

1 answer:

kobusy [5.1K]3 years ago

3 0

Answer:

an+4n+1

Step-by-step explanation:

Hope it helped

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What is the common ratio and explicit formula for -2,6,-18,54?

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

$a_{4} =\frac{1}{(a_{1})^4}$

Step-by-step explanation:

Given sequence is ${\{-2,6,-18,54}\}$

Let $a_{1}=-2,a_{2}=6,a_{3}=-18,a_{4}=54$

To find the common ratio r:

$r=\frac{a_{2}}{a_{1}}$

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Therefore r=-3

$r=\frac{a_{3}}{a_{2}}$

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Therefore given sequence is geometric sequence.

The explicit formula for a geometric sequence is $a_{n}=a_{1}^{r-1}$ , where common ratio is r.

From given sequence we are having r=-3

Therefore the explicit formula for a given geometric sequence is of the form $a_{4} =a_{1}^{-3-1}$

$a_{4} =a_{1}^{-4}$

$a_{4} =\frac{1}{(a_{1})^4}$

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An egg is dropped from a height of 90 ft. If acceleration due to gravity is –16 ft/s2 and initial velocity is 0 ft/s, approximat

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