Answer each of the following questions and show all your work and
steps. The solution will provide a breakdown on how each question will be answered and
marked.


1.

Jason has a phone plan that charges a base price of $30 a month plus $0.10 a
minute. Jason used 50 minutes in the first month. If he increases his monthly usage by 5
minutes each month, how much will his phone plan cost him in total for 3 years? a)
Write a general formula for the cost of each month
b) Write a general
formula for the total cost up to the n^{th} month.
c) Find out how
much Jason has paid into his phone plan in 3 years.


2.

Given the following sequence, 51.5, 49, 46.5, 44,......, which term in the
sequence will the first positive term appear? Show all your work and steps


3.

In an arithmetic sequence there are 10 terms. The first term is 16, the
fourth term is 41.5, and the seventh term is 67. What is the sum of all 10 terms? Show
all your work and steps.


4.

There are 21 terms in an arithmetic sequence. The 11th term in the
sequence is 75. What is the sum of all the terms in the sequence? Show all your work and
steps.


5.

What is the sum of all the terms in the sequence? a) Find the common difference b) Find
the sum of the first 20 terms.


6.

Given that a) What are the values of b) What is the value of the common
difference? c) What is the value of the first term?
