COMPLETE ALL WITH CORRECT ANSWERS (MULTIPLE CHOICE ONES DO NOT NEED EXPLANATION, BUT FOR THE LAST 4 QUESTIONS THEY MUST HAVE STEP BY STEP WITH EXPLANATIONS. ORIGINAL ANSWERS

I WILL GIVE GOOD OR BAD FEEDBACK BASED ON THE FINAL SCORE. SO PLEASE TUTORS DO YOUR BEST, I NEED EXPERTS ON CALCULUS HERE, TAKE YOUR TIME BUT DO IT EXCELLENT. THANK YOU

Assuming the pattern continues, what is S₁₂ for the series ?6 ? 14 ? 22 ? 30 ? ...?

a)?608

b) ?600

c)?564

d)?94

A sequence is shown in the graph. 50 . (1, 48) 45 40 35 30 25 20 15 . (2, 12) 10 5 .(3, 3) . (4, 0.75) N 3 5 Assuming the pattern continues, what is the formula for the oth term? an = 48(4") O an = 48(0.257+1) O an = 4(487 - 1) O an = 48(0.250- 1)Which of the following equations represents the oth term of the arithmetic sequence? 18, 23, 28, 33, 38, ... O an = 18 + 50 O an = 18 - 50 O an = 18 + 5(n - 1) O an = 18 - 5(n - 1) Question 4(Multiple Choice Worth 5 points) (04.03 MC) Which term is -234,375 for the following sequence, assuming that the pattern continues? 3, -15, 75, -375, ... O as O ag O a10 O a11Which of the following shows the expansion of $ 2-6n? 1=0 O 2 + (-4) + (-10) + (-16) + (-22) O2 + 8 + 14 +20+ 26 O (-4) + (-10) + (-16) + (-22) + (-28) O (-22) + (-16) + (-10) + (-4) +0 Question 6(Multiple Choice Worth 5 points) (04.04 MC) Which of the following is equivalent to $ 12 5 0=1 8 O _ 60 13 60 13 O -20 O 20If two terms of an arithmetic sequence are a11 = 26 and a15 = -10, what is azg? O -226 O-217 O-127 O -20Lionsh are considered an invasive species. with an annual growth rate of 67%. A scientist estimates there are 8.000 lionsh in a certain bay after the rst year. Part A: Write the explicit equation for f (n) that represents the number of lionsh in the bay aer n years. Show all necessary math work. (4 points) Part B: How many lionsh will be in the bay aer 6 years'? Round to the nearest whole number and show all necessary math work. (3 points) Part C: If scientists remove 1,200 sh per year from the bay after the rst year, what is the recursive equation for f (:1)? Show all necessary math work. (3 points] The sequence 1_ _% 6 1 3 4 . . __ __' Is given. 8 9 Part A: Assuming the pattern continues, list the next four terms in the sequence. Showr all necessary math work. (4 points} Part B: Write the explicit equation for f {n} to represent the sequence. Show all necessary math work. (4 points) Part C: Is the sign of f (53} positive or negative? Justify your reasoning mathematically without determining the value of f(53]. (2 points) An applicant receives a job offer from two different companies. OfferA is a starting salary of $54,000 and a 6% increase for 5 years. Offer B is a starting salary of $54,000 and an increase of $3,000 per year Part A: Determine whether offerA can he represented by an arithmetic or geometric series and write the equation for An that represents the total salary received after I] years. Justify your reasoning mathematically. (3 points) Part B: Determine whether oer B can be represented by an arithmetic or geometric series and write the equation for 3,, that represents the total salary received after H years. Justify your reasoning mathematically (3 points) Part C: Which offer wrll provide a greater total income after 5 years? Show all necessary math work. (4 points) A hiker on the Appalachian Trail planned to increase the distance covered by 20% each day. After i" days, the total distance traveled is 51.664 miles. Part A: How many miles did the hiker travel on the rst day'? Round your answer to the nearest mile and show all necessary math work. (4 points) Part B: What is the equation for S\"? Show all necessary math work. (3 points) Part C: If this pattern continues. what is the total number of miles the hiker will travel in 10 days\"? Round your answer to the hundredths place and show all necessary math work