Chapter 10 Review
Directions: Complete each of the following sets of problems.
Find the first three terms in each series, using the given rule.
1. tn =3n – 1
2. tn =n + 11
3. tn =5(2)n
4. tn =(-2)n
Now, find the rule for each sequence by defining tn.
5. 1, ½, 1/3, ¼, …
6. 2 4, 6, 8,…
Determine whether or not the following sequences can be defined as arithmetic
sequences. Write “yes” or “no.” If it is an arithmetic sequence, state the common
difference. Show all your work.
7. 2, 4, 8, 16
8. 2, 4, 6, 8
Find the first three terms of the sequence given the following values for a and d.
Show all your work.
9. a = 5; d = -3
10. a = 1; d = 8
If the following finite arithmetic term has 15 terms total, then find the last term for
each sequence listed.
11. 1, 5, 9
Find the position number for the term with value of 24 in each sequence. Show all
your work.
12.-25, -18, -11
13.-9, -6, -3
Find the sum for each of the following arithmetic series below. Use the summation
formula to find the sums.
14. A series with six terms, the first term is nine and the common difference is
twelve.
15. A series with five terms, the first term is 5.7 and the common difference is 1.4.
16. Find the sum of the first 21 terms in a series where a = 20 and t 21= 400.
17. Find the sum of the first 100 terms in a series where a = 0 and t 100= 99.
Now, find n and Sn for the following arithmetic series below.
18. 2 + 4 + 6 + 8+ …+ 60
Determine if the following sequences would or would not be classified as geometric
sequences. Write “Yes” or “No” for your final answer and explain why.
19. 1, ½, ¼, 1/8
20. 6, -6, 6, -6
Find the first three terms in each of the geometric sequences below, given the
values of a and r.
21. a = 3/8, r = 4
22. a = -4, r = 3
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Use the formula Sn =a (1 - rn ) ÷ (1 – r) to find the sum Sn for each of the geometric
series, given the value for a, r, and n. Show all your work.
23. a = 6, r = 3, n =4
24. a = 4, r = ¼, n = 4
25. Nadia invested $1,500.00 into a savings account. Her investment will earn her
1% increase every month. The interest is also invested at the same rate. What
is the total interest that she will earn over a two-year period? Show all your
work. $404.60.