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Softa [21]
3 years ago
12

In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if i

t exists, and if possible find the sixth term.
2a, 2a^(2)b, 2a^(3)b^(2), 2a^(4)b^(3). . .
Mathematics
2 answers:
bonufazy [111]3 years ago
5 0
This is a geometric sequence as each term is a constant ratio of the previous term, called the common ratio...

2a^2b/2a=(2a^3b^2)/(2a^2b)=ab and the first term is 2a

So the rule is:

a(n)=2a(ab)^(n-1)

a(6)=2a(ab)^5=2a^6(b^5)

We cannot know for sure if this series is infinite or not.  It would depend on what the values of a and b were.

If EITHER a^2 or b^2 is less than one the series would be finite (and technically a sequence and not a series),and a sum could be found.  If a^2 AND b^2 are greater than one it is an infinite series whos sum diverges....
Advocard [28]3 years ago
3 0
The sequence is infinite  because  the exponents   2 ,3 ,4 ,... go on infinitely.

That next number in the equence is obtained by multiplying each term by ab.

the sixth term is   2a^(6)b^(5)
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The distance from Ari’s house, A, to Ben’s house, B, is equal to the distance from Ari’s house to Cal’s house, C. One day the bo
tresset_1 [31]

Answer:

they walked the same distance

Step-by-step explanation:

if you add cal's expression up which is 2(2+1)+(-4) you would have to use distributive property which means you would have to times 2 by 2 which is 4 and then  times 2  by 1 and get two and then add them together and  get 2 and if you do the same thing with Ari's expression you get  2.

3 0
3 years ago
Please explain how you find the slope of a graph? Please explain with photos.
gogolik [260]

☁️ Answer ☁️

Here's what I found:

Identify the coordinates (x₁,y₁)and(x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).

Input the values into the formula. This gives us (10 - 8)/(-2 - 3).

Subtract the values in parentheses to get 2/(-5).

Simplify the fraction to get the slope of -2/5.

Check your result using the slope calculator.

To find the slope of a line we need two coordinates on the line. Any two coordinates will suffice. We are basically measuring the amount of change of the y-coordinate, often known as the rise, divided by the change of the x-coordinate, known the the run. The calculations in finding the slope are simple and involves nothing more than basic subtraction and division.

Here's the link:

https://www.omnicalculator.com/math/slope#:~:text=How%20to%20find%20slope%201%20Identify%20the%20coordinates,5%20Check%20your%20result%20using%20the%20slope%20calculator.

Here's a video to help you: https://m.you tube.com/watch?v=wvzBH46D6ho

(Just remove the space)

Hope it helps.

Have a nice day noona/hyung.

4 0
3 years ago
Read 2 more answers
How to round to the nearest 1000 even if there is no thousands in the number given​
Katen [24]

Answer:

To round a number to the nearest 1000, look at the hundreds digit. If the hundreds digit is 5 or more, round up. If the hundreds digit is 4 or less, round down

3 0
3 years ago
Identify the center and radius for the circle with the following equation; (x+5)^2+y^2+12y=3
rosijanka [135]
Center: (-5,-6)
Radius: 39
How to do it

Complete the square for
y
2
+
12
y
y
2
+
12
y
.

(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
Substitute
(
y
+
6
)
2
−
36
(
y
+
6
)
2
-
36
for
y
2
+
12
y
y
2
+
12
y
in the equation
(
x
+
5
)
2
+
y
2
+
12
y
=
3
(
x
+
5
)
2
+
y
2
+
12
y
=
3
.
(
x
+
5
)
2
+
(
y
+
6
)
2
−
36
=
3
(
x
+
5
)
2
+
(
y
+
6
)
2
-
36
=
3
Move
−
36
-
36
to the right side of the equation by adding
36
36
to both sides.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
(
x
+
5
)
2
+
(
y
+
6
)
2
=
3
+
36
Add
3
3
and
36
36
.
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
(
x
+
5
)
2
+
(
y
+
6
)
2
=
39
This is the form of a circle. Use this form to determine the center and radius of the circle.
4 0
3 years ago
hot dog buns come in packages of 8. for the school picnic ,mr spencer bought 30 packages of hot dog buns. how many hot dog buns
Novay_Z [31]
8 times 30 is 240 hot dog buns

6 0
3 years ago
Read 2 more answers
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