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2 years ago

What is the recursive formula for this geometric sequence 2, -10, 50, -250

Mathematics

2 answers:

BlackZzzverrR [31]2 years ago

6 0

Answer:

$a_k=-5\cdot a_{k-1}, \,\,\,k=1,2,...\,\,\,\mbox{and}\,\,\,a_0=2$

Step-by-step explanation:

The recursion is as follows:

$a_k=-5\cdot a_{k-1}, \,\,\,k=1,2,...\,\,\,\mbox{and}\,\,\,a_0=2$

and unrolling the first few examples:

$a_0=2\\a_1=-5\cdot 2 = -10\\a_2= -5\cdot (-10) = 50\\a_3 = (-5) \cdot 50 = -250$

geniusboy [140]2 years ago

3 0

Answer: C

Step-by-step explanation:

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Name the circle part L shown in the figure. O Arc O Sector O chord O radius

Gemiola [76]

Answer:

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2 years ago

Order these numbers from least to greatest.

Harlamova29_29 [7]

-867, -145, -12.1, 12110
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5 0

2 years ago

Lamar has 1,354.5 kilograms of potatoes to deliver equally to 18 stores. 12 of the stores are in the Bronx. How many kilograms o

Helen [10]

Answer:

deliver in 12 stores in the Bronx = 903 kg

Step-by-step explanation:

given data

potatoes weight = 1354.5 kg

no of store = 18

store in Bronx = 12

to find out

How many kilograms of potatoes will be delivered to stores in the Bronx

solution

first we find the 1 store potatoes deliver weight that is

1 store deliver = $\frac{total weight}{total store}$ ............1

put here value in equation 1

1 store deliver = $\frac{1354.5}{18}$

1 store deliver = 75.25 kg

deliver in 12 stores in the Bronx are

deliver in 12 stores in the Bronx = weight of 1 store deliver × 12

deliver in 12 stores in the Bronx = 75.25 × 12

deliver in 12 stores in the Bronx = 903 kg

4 0

3 years ago

suppose you have ab on a coordinate plane located at a(-3,-4) and b(5,-4). under a dilation centered at (9,0), ab becomes a'b' w

Galina-37 [17]

The distace between the center of dilation and point a is diven by:

$d=\sqrt{(9-(-3))^2+(0-(-4))^2} \\ \\ =\sqrt{(9+3)^2+(0+4)^2}=\sqrt{12^2+4^2} \\ \\ =\sqrt{144+16}=\sqrt{160}=\sqrt{16\times10}=4\sqrt{10}$

The distance between the center of dilation and point a' is given by:

$d=\sqrt{(9-6)^2+(0-(-1))^2} \\ \\ =\sqrt{3^2+(0+1)^2}=\sqrt{3^2+1^2} \\ \\ =\sqrt{9+1}=\sqrt{10}$

It can be seen that the distance from the center of dilation to the image is 1/4 times the distance from the centre of dilation to the preimage.

Therefore, the scale factor is 1/4.

7 0

3 years ago

Not sure when I’m going to use this, but I need help!!

AlekseyPX

To find how much older Leo is than John, we need to first assign our variables. In this case, let's say that x = Leo, y = Karla, and z = John. Now, let us turn words into numbers.
x = 2y
z = y - 7
Next, we need to create an equation for their combined ages. This is what the equation should look like:
x + y + z = 37
Now, just substitute the expressions we found for x and z. This is what we get:
2y + y + (y - 7) = 37
Solve for y:
2y + y + y - 7 = 37
4y - 7 = 37
4y = 44
y = 11
So now we have the value for y, which is Kayla's age. Therefore, just substitute the value for y back into the equations for x and z.
x = 2(y) => x = 2(11) => x = 22
z = y - 7 => z = 11 - 7 => z = 4
Now that we have the values for x, y, and z, all we need to do now is reassign them back to their respective names. Our final answer will be: John is 18 years older than Leo. The answer to your query would be E) 18. Hope this helps and have a nice day!

7 0

2 years ago