Which of the following is an arithmetic sequence
2 answers:
Answer:
The arithmetic sequence is: Option: D
D. 3,6,9,12,15
Step-by-step explanation:
We know that a sequence is an arithmetic sequence if each of the term of the sequence exceeds it's preceding sequence by a constant term which is known as a common difference of a sequence.
A)
1,4,5,9,14
Now we calculate the difference between the terms as:
As the difference is not same.
Hence, option: A is not an arithmetic sequence.
B)
6,13,19,32,51
The difference is calculated as:
As the difference is not same.
Hence, option: B is not an arithmetic sequence.
C)
3,5,8,13,21
The difference is calculated as:
As the difference is not same.
Hence, option: C is not an arithmetic sequence.
D)
3,6,9,12,15
The difference is calculated as:
As the difference is same.
Hence, option: D is an arithmetic sequence.
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Answer:
The question seems not to be complete, below is a possible complete question:
Kristin earns $6.50 for every hour she babysits for the Overstreet family. Part A: Last Friday, Kristin babysat for 4.5 hours. How much money did she make during that job? $__________ Part B: Mrs. Overstreet has told Kristin that she will pay her $45.50 for tomorrow's babysitting job. How many hours will Kristin babysit then? __________ hours
Answers:
Part A: She makes $29.25
Part B: She babysat for 7 hours
Step-by-step explanation:
Part A:
amount earned per hour = $6.50
Number of hours worked = 4.5 hours
1 hour = $6.50
∴ 4.5 hours = 6.50 × 4.5 = $29.25
part B:
total amount to be earned = $45.50
earning rate = $6.50 per hour