1. Use summation notation to write the series
… for 8 terms

2. Given the sequence, write the explicit formula and find the 20th term.
9, 14, 19, 24, …

3. a) What are the first 3 terms. b) Does the series diverge or converge
a) What are the first 3 terms? b) Does the series diverge or converge? c) Find the sum

4. Find the missing term of the arithmetic sequence
-23, _____, -63

5. For a & b, is the sequence arithmetic?
If so, identify the common difference.
-30,-40,-50,-60,…
b) 2, 4, 8, …

6. Find the 15th term of the sequence:
35, 39, 43, …

7. Write the explicit formula and identify the 5th term if
a1 = -2 and r = 2

8. Is the sequence geometric? If so,
identify the common ratio.
1, 4, 8, …
-3, -15, -75, -375, …

9. Find the missing term in
the geometric sequence
4, ____ , 36

10. Find the 10th term in the sequence using the explicit formula
-2.5, -10, -40, -160, …

11. Find the number of terms in the series9
∑ 3n
n = 2

12. Write the related series & evaluate:
9, 14, 19, 24, 29, 36, 41

13. 10 ∑ (2n – 1) n = 1 Given the summation below,
find the 1st and last terms 10
∑ (2n – 1)
n = 1

14. Evaluate the series 5
∑ ( n)
n=1

15. Does the infinite geometric series diverge or converge?
Does it have a sum? …

16. Evaluate the series to the given term:

17. Evaluate the infinite geometric series
1 + 2/3 + 4/9 + 8/27 + …

18. Does the infinite geometric sequence diverge or converge?
Does it have a sum?
/2 + 5/4 + …

19. has 10 terms. Evaluate the related series.
The sequence -4, -34, -64, -94, …, -274
has 10 terms. Evaluate the related series.

20. You visit the Grand Canyon and drop a penny
off the edge of a cliff. The distance the penny
will fall is 16 feet the first second,
48 feet the next second, 80 feet the third second,
and so on. What is the total distance the object
will fall in 6 seconds?

21. Suppose you go to work for a company that
pays one penny on the first day, 2 cents on the
second day, 4 cents on the third day and so on.
If the daily wage keeps doubling, what will
your total income be for working 31 days?