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

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If 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