Which sequence can be defined by the recursive formula f(1) = 4, f (n + 1) = f(n) - 1.25 for n 2 1? O 1,-0.25,-1.5, -2.75, -4,...
O 1, 2.25, 3.5, 4.75, 6, ...
O 4,2.75, 1.5, 0.25,-1, ...
O 4,5.25, 6.5, 7.75, 8, ...

Given the choice between receiving $1.000.000 in one month or a single penny-doubled everyday for the period of one month; which option would you choice? show your work to support your answer. (assume that 1 month=30 days)

A. plot the data for the functions f(x) and g(x) on a grid and connect the points. x -2 -1 0 1 2 f(x) 1/9 1/3 1 3 9 x -2 -1 0 1 2 g(x) -4 -2 0 2 4 b. which function could be described as exponential and which as linear? explain. c. if the functions continue with the same pattern, will the function values ever be equal? if so, give estimates for the value of x that will make the function values equals. if not, explain why the function values will never be equal.

What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83