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UNIT
8 :
SEQUENCES AND SERIES
LESSON 7:
UNIT 8 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.
