(05.01 LC)  A polling company has decided to increase the size of its random sample of voters from about 3,000 people to about 5,500 people right before an election. A poll was designed to estimate the proportion of voters who favor a new law banning all exterior doors from opening inward. What is the effect of this increase? (4 points)

Find an equation for the nth term of a geometric sequence where the second and fifth terms are -2 and 16, respectively. (7 points)

Find an equation for the nth term of the arithmetic sequence. -13, -8, -3, 2, … (7 points)

According to the evidence posted by your peer on trauma informed sexual and reproductive health care for adolescence, which of the following is likely most important,

Determine whether the sequence converges or diverges. If it converges, give the limit. 11, 44, 176, 704, … (7 points)

(05.05 LC)  A random sample has been taken from a population. A statistician, using this sample, needs to decide whether to construct a 92% confidence interval for the population mean or a 98% confidence interval for the population mean. How will these intervals differ? (4 points)

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.