I need help on these questions:
1. After returning from a knee injury, your trainer tells you to return to your running program slowly. She suggests running for 60 minutes total for the first week. Each week thereafter, she suggests that you increase that time by 6 minutes each week. What type of sequence best models this scenario?
-Arithmetic Sequences
-Geometric Sequence
-Neither
2. Which sequence best models the scenario from Question 1?
-60, 54, 48, 42, ...
-60, 66, 72, 78, ...
-60, 360, 2160, ...
-54, 60, 66, 72, ...
3. Write a recursive equation to model the sequence from question 2
-t(n + 1) = t(n) + 6, t(1) = 0
-t(n) = 6n + 54
-t(n + 1) = t(n) + 6
-t(n + 1) = t(n) + 6, t(1) = 60
4. A professional basketball player signs a contract with a beginning salary of $3,000,000 for the first year and an annual increase of 4% per year. That is, beginning in year 2, the athlete's salary will be 1.04 times what it was in the previous year. What type of sequence best models the scenario?
-Geometric Sequence
-Neither
-Arithmetic Sequence
-No answer text provided.
5. Which sequence best models the scenario from question 4.
-3,000,000 , 120,000 , 4,800 , 192 , ...
-3,000,000 , 3,004,000 , 3,008,000, ...
-3,000,000 , 3,000,004 , 3,000,008, ...
-3,000,000 , 3,120,000 , 3,444,800, ...
6. Write a recursive equation to model the scenario and sequence from questions 4 and 5.
-t(n + 1) = 1.04•t(n)
-t(n) = 3,000,000(1.04)^n
-t(n + 1) = 1.04•t(n) , t(1) = 3,000,000
-t(n + 1) = t(n) + 1.04 , t(1) = 3,000,000
4 answers
1. Answer: Arithmetic Sequences
2. Answer: 60, 66, 72, 78, ...
3. Answer: t(n + 1) = t(n) + 6, t(1) = 60
4. Answer: Geometric Sequence
5. Answer: 3,000,000 , 3,120,000 , 3,444,800, ...
6. Answer: t(n + 1) = t(n) + 1.04 , t(1) = 3,000,000
t(n) = 3,000,000(1.04)^n
6 answers