Practice Exam

Question 26 • Mathematics I

Which is the graph of the sequence defined by the function f of open paren x plus 1 close paren is equal to 3 fifths f x when the first term in the sequence is 375 ?

Answer

Image with description On a coordinate plane, 4 points are plotted. The points are (1 comma 375), (2 comma 225), (3 comma 135), (4 comma 81).

Image with description On a coordinate plane, 4 points are plotted. The points are (0 comma 375), (1 comma 225), (2 comma 135), (3 comma 81).

Image with description On a coordinate plane, 4 points are plotted. The points are (0 comma 375), (1 comma 75), (2 comma 15), (3 comma 3).

Image with description On a coordinate plane, 4 points are plotted. The points are (1 comma 375), (2 comma 75), (3 comma 15), (4 comma 3).

Explanation

The rule f(x + 1) = (3/5)f(x) means each term is 3/5 of the previous one. Starting with the first term f(1) = 375, the next terms are 375 × 3/5 = 225, then 225 × 3/5 = 135, and then 135 × 3/5 = 81. Choice A shows the points (1, 375), (2, 225), (3, 135), and (4, 81).

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