Mathematics, 30.07.2019 20:30 jonnydean0817

For the following geometric sequence find the recursive formula and the 5th term in the sequence. in your final answer, include all of your work. {-4, 12, -36, }

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We have a geometric sequence > {-4, 12, -36, ...}

the formula is a(r)^(n-1)

a >a is the first term > -4
r > is the common ratio > 12/(-4)=(-36/12)=-3
n > is the number of terms

The fifth term is -4[(-3)^(5-1)]=-4[(81]=-324

the answer is -324

Answer from: kvngsavage15685

First you need to identify the common ratio:

r = $t_{n+1} / t_{n}$

where r is the common ratio
$t_{n}$ is any term in the sequence
$t_{n}$ is the term preceding $t_{n}$

In your case the common ratio will be
12/-4 = -3
The recursive formula of a geometric sequence is:

An = $A_{n-1}$ x r
Where : An is the nth term
$A_{n-1}$ is the erm preceding the nth term
r = common ratio

For this case it is:
An = $A_{n-1}$ x -3

Now let us use this formula to find the 5th term:

$A_{5}$ = $A_{5-1}$ x -3
$A_{5}$ = $A_{4}$ x -3

Since you do not know the 4th term, you can use that by using our reclusive formula:

$A_{4}$ = $A_{4-1}$ x -3
$A_{4}$ = $A_{3}$ x -3
$A_{4}$ =

x -3
$A_{4}$ = 108

Now that you know your fourth term, you can use the same formula:

$A_{5}$ = $A_{5-1}$ x -3
$A_{5}$ = $A_{4}$ x -3
$A_{5}$ = 108

x -3
$A_{5}$ =

Answer from: Quest

Hmm i believe it would be c
Someone me out is this answer a b c d

Answer from: Quest

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation:

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For the following geometric sequence find the recursive formula and the 5th term in the sequence. in...

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