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marissa [1.9K]
3 years ago
14

Write the explicit formula

Mathematics
1 answer:
Margaret [11]3 years ago
6 0

Answer:

Step-by-step explanation:

Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is

A_n=a_1(r)^{n-1 where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then

a1 = 2 and r = 3. Therefore, the explicit formula is

A_n=2(3)^{n-1 and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.

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Four friends are playing the board game Hidden Treasure. The game begins with 40 coins
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Answer:

I hope this helps 40 divided by 4 is 10 10 per person 10-2=8 8 coins in each players bag and the total amount of coins in bags is 8 times 4 which is 32

8 0
2 years ago
Help pls will mark brainlist !! :)
Rufina [12.5K]

Answer:

144 cubic inches

Step-by-step explanation:

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8 0
3 years ago
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When you solve using the quadratic formula and you get to
kvasek [131]

Answer:

\boxed{if \: b=  - 2 :  {b}^{2}  =  { (- 2)}^{2}  = 4}

8 0
3 years ago
Help!!! I need to find the x and y values
gayaneshka [121]

The solution is that x = 26 and y = 9.

In order to find these, we need to note that since the two angles involving x's make a straight line, then they must equal 180 degrees. So we can add them together and set them equal to solve for x.

5x - 17 + 3x - 11 = 180 ----> combine like terms

8x - 28 = 180 ----> add 28 to both sides

8x = 208 -----> divide by 8

x = 26

Now that we have the value of x, we can find the value of the 3x - 11 term. That along with the right angle and the 2y + 5 angle combine to make another straight line. So we can solve by setting that equal to 180 as well.

3x - 11 + 90 + 2y + 5 = 180 ------> Combine like terms

3x + 2y + 84 = 180 -----> Put 26 in for x.

3(26) + 2y + 84 = 180 -----> Multiply

78 + 2y + 84 = 180 ------> Combine like terms again

2y + 162 = 180 ------> Subtract 162 from both sides

2y = 18 -----> Divide by 2

y = 9

6 0
3 years ago
6 times the square root of 2.25 and then minis 4.23 =
snow_lady [41]
The answer is: 4.77.
________________

6√(2.25)  - 4.23 = ?
__________________
6√(2.25)  - 4.23 = 
______________________
6*(1.5)  - 4.23 = 
_______________
9 - 4.23 =
_______________
4.77
5 0
3 years ago
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