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Likurg_2 [28]
3 years ago
13

What is the explicit formula for this sequence?

Mathematics
1 answer:
jonny [76]3 years ago
8 0

Answer:

\text{C. }a_n=-8+(n-1)5

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by a_n=a_1+(n-1)d, where a_n is the nth, a_1 is the first them of the sequence, and d is the common difference.

In the given sequence -8, -3, 2, 7, we can see that we're adding 5 to each term. Therefore, the common different is positive five (+5). We can also identify the first term is -8. Therefore, we have:

  • a_1=-8
  • d=5

Thus, the explicit formula for this sequence is:

\boxed{a_n=-8+(n-1)5}

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32 Just add all the numbers up and divide by how many numbers there are (9).
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Gennadij [26K]

Answer:

i think the 2nd one is correct .. i have not fluent in english to explain the answer.

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3 years ago
A pie is made using 2 cups of sugar for every 3 cups of flour. Max knows he needs 15 cups of flour to make enough pies. How many
PolarNik [594]

Answer: 10 cups of sugar

Step-by-step explanation:

Cups of sugar : Cups of flour

                    2 : 3

                    ? : 15

Cross multiply

3? = 15 × 2

3? = 30

Divide both sides by 3

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He needs 10 cups of sugar.

8 0
3 years ago
Someone help! It is urgent!!!
djverab [1.8K]

Answer:

a. f(-1)=12

b. f(2t)=16t²-6t+5

c. f(t-2)=4t²-19t+27

Step-by-step explanation:

For a, b, c, we are given an input. We plug that into f(x) to find our answers.

a.  f(-1)=12

f(-1)=4(-1)²-3(-1)+5

f(-1)=4+3+5

f(-1)=12

-------------------------------------------------------------------------------------------------------------

b. f(2t)=16t²-6t+5

f(2t)=4(2t)²-3(2t)+5

f(2t)=4(4t²)-6t+5

f(2t)=16t²-6t+5

-------------------------------------------------------------------------------------------------------------

c. f(t-2)=4t²-19t+27

f(t-2)=4(t-2)²-3(t-2)+5

f(t-2)=4(t²-4t+4)-3t+6+5

f(t-2)=4t²-16t+16-3t+6+5

f(t-2)=4t²-19t+27

7 0
3 years ago
Jasmine mixes 37 ounces of grape juice and 13 ounces of apple juice to make a fruit punch. She will pour the punch into 6-ounce
Anastaziya [24]
First we have to figure out how much fruit punch Jasmine has.
To do this, we just have to add the number of ounces of grape juice she mixes with the number of ounces of apple juice.

37 + 13 = 50.

Jasmine is pouring the punch into 6 ounce cups.  To find out how many cups of punch she can make, you have to divide the number of ounces of punch she has (50) by the number of ounces she can put in a cup (6).

50/6 ≈ 8.33

Therefore, Jasmine can 

A. make 8 full cups of punch with the apple juice and grape juice.

and 

B.  Yes, there will be juice left over, because the amount of cups Jasmine could fill had a decimal, or a remainder.

8 0
3 years ago
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