Beating the System

Chapter 10 Review

1. Write the first four terms of the sequence

2. Write the series in summation notation

3. Write the series in summation notation

4. Find the sum of the series

5. Write a rule for the nth term of the arithmetic sequence:

6. Write a rule for the nth term of the arithmetic sequence with and  .

7. What is the first term of an arithmetic sequence with a common difference of 4 and a seventh term of 51?

8. Find the sum of the first 9 terms of the arithmetic series:

9. Evaluate

10. Write a rule for the nth term of the geometric sequence:

11. Write a rule for the nth term of a geometric sequence with and .

12. Find the sum of the finite geometric series:

13. Find the common ratio of the geometric sequence:

14. Find the sum of the infinite geometric series:

15. Find the sum of the geometric series:

16. How many different ways can you arrange 8 books on a shelf?

17. Evaluate

18. Evaluate

19. Find the number of distinguishable permutations of the word HORSEFLY.

20. Find the number of distinguishable permutations of the word BOOKKEEPER.

21. There are 14 juniors and 8 sophomores in my 1st block.  How many ways can I choose a junior and a sophomore to represent the class and show 2nd block how to behave?

22. Evaluate

23. Of the 8 sophomores in my 1st block, how many ways can I choose 5 to receive 20 points extra credit?

24. Expand

25. What is the coefficient of the term of ?