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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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How to solve 6×+8 = 12x-4
Tatiana [17]
Answer:

x=2

Hope this helps!
8 0
2 years ago
Jackson has three cartons of gumballs. There are 100 boxes in each carton. There are 100 gumballs in each box
lilavasa [31]

Answer:

3. 10000

Step-by-step explanation:

Given the following :

Number of gumball cartons = 3

Number of boxes per carton = 100

Number of gumballs per box = 100

The number of gumballs can be expressed in the form : (a. 10) ; where ; a = prime number ; b = whole number

Values of a and b?

Total number of gumballs :

Number of carton × number of boxes per carton × number of gumballs per box

3 × 100 × 100

Hence, writing the expression in the form: a. 10

a. 10 = 3 × 10000

4 0
3 years ago
What Is The Rate Of Change In This Function?
Marrrta [24]

Answer:The answer would be 35 miles per day.

Step-by-step explanation:

We know the x axis is in days and the y axis is the distance in miles. There are only three answers left. We can also cross out 50 miles per day since the  rate of change is less then 50. The answer is 35 miles per day because if the rate of change were to be 25 in 4 days the distance would be 100 miles, while is you look at where the point is at it is closer to 150.

6 0
3 years ago
At Arnold's Arcade, a child can buy 21 tokens for $6. At this rate, how many tokens would $20 get someone?
nydimaria [60]

Based on the information given, the number of tokens that will be bought if a child has $20 will be 70.

Since a child can buy 21 tokens for $6, the cost of one token will be:

= $6 / 21 = $0.2857143

Therefore, if a child has $20, the number of tokens that will be gotten will be:

= $20 / $0.2857143

= 70

Therefore, 70 tokens will be bought.

Read related link on:

brainly.com/question/25776703

8 0
2 years ago
-2|5x+3|>=4 i dont have the bigger equal simbols , please help me with this question ;((
ipn [44]

Step-by-step explanation:

-2|5x + 3| >= 4

|5x + 3| <= -2

Since absolute value is never negative, there are no real values for x.

6 0
2 years ago
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