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:
Describe an arithmetic sequence in two sentences.
Describe a geometric sequence in two sentences.
The sequence shown below is defined using a recursion formula. Write the first four terms of the sequence.
a1 = 13 and an = an-1 + 8 for n≥2
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.
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?