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

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

Answer from: Quest

answer: answer: d) v= 1/6 bh

step-by-step explanation:

since according to the given question, a pyramid is placed inside a prism.

step-by-step explanation:

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