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omeli [17]
3 years ago
9

Please help ASAP! 13 Points

Mathematics
1 answer:
marta [7]3 years ago
7 0
I think its the 3rd option

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Jared creates a number sequence that has a first term of 2 and a second of term of 5. Each term after the second is created by s
dexar [7]

The rule for the sequence is S(n) = 2S(n-1) - S(n-2)

Alternative form: S(n) = S(n-1) + 3

Step-by-step explanation:

In this problem, we know the first two terms of the sequence:

S(1) = 2

S(2) = 5

We are told that each term after the second is created by subtracting the term before the previous term from twice the previous term. In other words, if we call:

S(n) the current term

S(n-1) the previous term

S(n-2) the term before the previous term

This statement translates into the following sequence:

S(n) = 2S(n-1) - S(n-2)

Because we are subtracting the term before the previous term, S(n-2), from twice the previous term, 2S(n-1).

We can apply now the rule to find the first few terms of the sequence after S(1) and S(2):

S(3) = 2S(2) - S(1) = 2(5)-2=10-2 = 8

S(4) = 2S(3) - S(2) = 2(8)-5=16-5 = 11

S(5) = 2S(4) - S(3) = 2(11)-8=22-8 = 14

We notice also that each term of the sequence is just equal to the previous term plus 3, so the sequence can also be written as

S(n) = S(n-1) + 3

Learn more about sequences:

brainly.com/question/1522572

brainly.com/question/3280369

#LearnwithBrainly

4 0
3 years ago
A radio transmission tower is 180 feet high. How long should a guy wire be if it is to be attached to the tower 11 feet from the
lawyer [7]

Answer:

Step-by-step explanation:

3 0
2 years ago
A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20
solmaris [256]

answer  

no change

We've now found that there was (surprisingly) no change in the rectangle's area, despite changing its size.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Two factors of 30 add up to 9 what are they
Readme [11.4K]
The factors of 20 are 1,2,3,5,6,10,15, and 30
6+3=9. 
4 0
3 years ago
A company which manufactures computers increases its production
Anuta_ua [19.1K]

Answer:

93312

Step-by-step explanation:

8% in decimal form is 0.08

Multiply the number of computers by 0.08 get the amount of increase every year.

Computers produced in 2021:

80,000 x 0.08 = 6400

80,000 + 6400 = 86400 computers

Computers produced in 2022:

86400 x 0.08 = 6912

86400 + 6912 = 93312 computers

5 0
3 years ago
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