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
that's um a lot if jiskha isn't helping u or taking a long time, go to brainly they will help
If it is something plus or minus the last one it is arithmetic.
If it is something times the last one, it is geometric.
https://www.mathsisfun.com/algebra/sequences-sums-arithmetic.html
https://www.mathsisfun.com/algebra/sequences-sums-geometric.html
Your questions are fundamental to understanding this subject. If we just give you the answers you will get nowhere. Please read those links and go back and try to fit the questions to the sequences.
1. The scenario described in question 1 involves gradually increasing the running time each week. This is represented by adding a constant value (in this case, 6 minutes) to the previous term. Therefore, the type of sequence that best models this scenario is an Arithmetic Sequence.
2. Looking at the given options, the sequence that represents the scenario from question 1 is: 60, 66, 72, 78, ... This sequence increases by 6 in each term, which aligns with the suggestion of increasing the running time by 6 minutes each week.
3. To write a recursive equation for the sequence in question 2, we need to consider the pattern. Since each term is obtained by adding 6 to the previous term, we can write the recursive equation as t(n + 1) = t(n) + 6, where n represents the term number. Additionally, we know that the initial term is 60 (as given in the scenario), so we can include that in the equation as t(1) = 60. Therefore, the correct recursive equation is: t(n + 1) = t(n) + 6, t(1) = 60.
4. In the scenario described in question 4, the basketball player's salary increases by a certain percentage each year. This exponential growth can be represented by a Geometric Sequence.
5. Looking at the given options, the sequence that represents the scenario from question 4 is: 3,000,000, 3,004,000, 3,008,000, ... Each term is obtained by multiplying the previous term by 1.04, which aligns with the suggestion of a 4% annual increase.
6. To write a recursive equation for the sequence in question 5, we need to consider the pattern. Since each term is obtained by multiplying the previous term by 1.04, we can write the recursive equation as t(n + 1) = 1.04 * t(n), where n represents the term number. Additionally, we know that the initial term is 3,000,000 (as given in the scenario), so we can include that in the equation as t(1) = 3,000,000. Therefore, the correct recursive equation is: t(n + 1) = 1.04 * t(n), t(1) = 3,000,000.
What? Again?
I answered her first post, which she is ignoring.
She might do well at brainly, since her question is at least clearly written. I have found that a large portion of the questions posted there are garbled, incomplete, or just stupid.