This lab requires you to:

·         Find particular terms of a sequence from the general term.

·         Use recursion formulas.

·         Use factorial notation.

·         Use summation notation.

·         Find the common difference for an arithmetic sequence.

·         Write terms of an arithmetic sequence.

·         Use the formula for the general term of an arithmetic sequence.

·         Use the formula for the sum of the first n terms of an arithmetic sequence.

·         Find the common ratio of a geometric sequence.

·         Write terms of a geometric sequence.

·         Use the formula for the general term of a geometric sequence.

·         Use the formula for the sum of the first n terms of a geometric sequence.

Answer the following questions to complete this lab:

1.      Describe an arithmetic sequence in two sentences.

2.      Describe a geometric sequence in two sentences.

3.      The sequence shown below is defined using a recursion formula. Write the first four terms of the sequence.

a₁ = 13 and a_n = a_n-1 + 8 for n

4.      A company offers a starting yearly salary of $33,000 with a raise of $2,500 per year. Find the total salary over a ten-year period.

5.      Suppose you save $1 the first day of a month, $5 the second day, $25 the third day, and so on. That is, each day you save five times as much as you did the day before. What will you put aside for savings on the eighth day of the month?

Submission Requirements: Answer all the questions included in the lab. You can submit your answers in a Microsoft Word document, or write your answers on paper and then scan and submit the paper. Name the file as InitialName_LastName_Lab9.1_Date.

Evaluation Criteria:

·         Did you show the relevant steps in doing problems?

·         Did you write thorough explanations for the short-answer questions?

·         Did you submit your answers in an organized fashion that was legible and easy to follow?

·         Were the answers correct?

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