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Arithmetic Sequences

Geometric Sequences

Arithmetic Series

Geometric Series

Sigma Notation

Mathematical Induction

Review&Test

 

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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 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.

 

 

 

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