2. Consider the sequence defined in the table below. n 5 bn) 1 2 2 12 3 22 4 32 42 (a) Find (4) (b) Find 26(2) – b(3) 4 3. Consider the sequence of numbers given by the definition ci = 2 and Ci-l 3. (a) Write out the first four terms of this sequence. (b) Find the value of c4 - C2. Show your work.​

Consider the graph of the exponential function y=3(2)×

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

The students at jefferson middle school are raising money for a charity by selling t-shirts and hats. the number of t-shirts sold was 3 times the number of hats. the profit was $5 for each t-shirt sold and $2.50 for each hat sold. the students raised $840 for the charity. they used the system below to analyze their success and found the solution to be (144, 48). 5x+2.50y=840 x=3y how much did they earn from t-shirt sales?