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Precalc: Test for Chapter 6

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____________________	1.	List the five terms, a₁, a₂, a₃, a₄, and a₅ of the sequence defined by

____________________	2.	List the five terms, a₁, a₂, a₃, a₄, and a₅ of the sequence defined by

____________________	3.	List the five terms, a₁, a₂, a₃, a₄, and a₅ of the sequence defined by

____________________	4.	List the five terms, a₁, a₂, a₃, a₄, and a₅ of the sequence defined by

____________________	5.	Give an n^th–term definition for the sequence with the first five terms being

____________________	6.	Give the recursive definition for the sequence with the first five terms being

____________________	7.	Give an n^th–term definition for the sequence with the first five terms being

____________________	8.	Give the recursive definition for the sequence with the first five terms being

____________________	9.	Find the

____________________	10.	Find the

____________________	11.	The formula for the accumulated funds, A, for investing P dollars at an annual rate of r (expressed as a decimal) compounded n times per year for t years is A = P ( 1 + r/n) ^nt What will be the accumulated funds after investing

____________________	12.	The formula for the accumulated funds, A, for investing P dollars at an annual rate of r (expressed as a decimal) compounded continuously for t years is A = P e ^rt What will be the accumulated funds after investing

____________________	13.	Express the following series in expanded form. Do not compute the actual sum!

____________________	14.	Express the following series in expanded form. Do not compute the actual sum!

____________________	15.	Find the sum of the first

____________________	16.	Find the sum of the first

____________________	17.	Find the sum of the first

____________________	18.	Find the sum of the first

____________________	19.	Find the sum of the infinite geometric series where

____________________	20.	Find the sum of the infinite geometric series where

____________________	21.

____________________	22.

____________________	23.

____________________	24.	What is the sum of the numbers in the row of Pascal's triangle that starts with

____________________	25.	The chart below is meant to represent the streets of a city. As you can see, two of the intersections in the city have been closed to all traffic. Assuming that you start at the top corner of the city, and that you only move down on the map, how may ways are there to reach the bottom corner of the map? Show your work!

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