Determine whether the sequence converges or diverges. If it converges, give the limit. 48, 12, 3, , …  (7 points)

Use mathematical induction to prove the statement is true for all positive integers n. 10 + 20 + 30 + … + 10n = 5n(n + 1) (8 points)  

Write the sum using summation notation, assuming the suggested pattern continues. 2 – 12 + 72 – 432 + … (7 points)

Please describe how the scientific principle of adaptation applies to YOU with regards to your approach to engaging in fitness activities/working out.  List a specific example of how you have applied this principle appropriately OR not appropriately.  

Write the sum using summation notation, assuming the suggested pattern continues. -3 + 6 + 15 + 24 + … + 132 (7 points)

What are the top 2 leading causes of death in the US (non COVID times)?   Please follow those up with 3 different lifestyle CHOICES that contribute to these causes of death.  

(06.07 MC)  The cost and customer rating of 15 cars is shown on the scatterplot. The cars are rated on a scale of 0 to 100. Part A: Describe the association shown in the scatterplot. (4 points). Part B: Give an example of a data point that affects the appropriateness of using a linear regression model to fit all the data. Explain. (4 points)Part C: Give an example of a car that is cost effective and rated highly by customers. (2 points)(10 points)

An auditorium has 15 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium? (7 points)

A water tank is being drained at the rate of 17 gal/min. The tank started with 17750 gallons of water. Which of the following linear functions model the number of gallons of water in the tank at any time t. ​

Find an equation for the nth term of the arithmetic sequence. a15 = -53, a16 = -5 (7 points)