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UNIT 10  :  SEQUENCES AND SERIES

LESSON 7: UNIT TEST

1. In each of the following tn is given.  Find the first 4 terms and t12.

2.  Find tn, t15 and S15  for each of the following series:

3.  Find tn, t8 and S8  for each of the following series:

4.  Determine whether each sequence is arithmetic, geometric, or neither.

a)  4, 1, -2, -5, …                                                        b)  1, 3, 33, 333, …

c)  -2, 6, -18, 54, …                                                    d)  4, 2.6, 2.2, 1.8, …

e)  1, 4, 9, 16, …                                                         f)  81, -27, 9, -3, …

5.  Find the sum of  each series.

6.  The first term of an arithmetic sequence is 2 and the sum of the first five terms is 40.  Find the first five terms and tn.

7.  The fourth and eighth terms of a geometric sequence of positive numbers are ¼ and 4 respectively.  Find the seventh term and the sum of 12 terms.

8.  The sum of the first four terms of a positive geometric series is 60.  The fourth term is 4 times the second term.  Find the first four terms.

9.  An new internet company Rebus.com made a profit of \$120 000 this year.  If profits increase by 5% for each of the next 6 years, what will be the total profit made by the company so far ?

10.  Explain the difference between a sequence and a series.