sequences
What is the next term in the arithmetic sequence: 3, 7, 11, 15, ...?
17
A fitness club has 50 members in January. Each month, the club gains 10 new members and loses 5 members. How many members will the club have after 6 months?
80
1/4 + 1/2
3/4
Determine the type of pattern:
3, 6, 12, 24, ...
geometric
Complete the sequence:
100, 90, 80, __, __, 50
(70, 60)
Which of the following describes a geometric sequence?
each term multiplied by the same number
A company's stock price increases by 8% each month. If the stock price is $150 now, what will it be after 4 months?
$193.65
2/5+3/10
7/10
Determine the type of pattern:
10, 7, 4, 1, ...
arithmetic
3, 9, 27, __, __
(81, 243)
The common ratio is the number you multiply by to get from one term to the next in a geometric sequence. If the first term of a geometric sequence is 4 and the common ratio is 3, what is the third term?
34
A student reads 20 pages in the first week and increases her reading by 5 pages each week. How many pages will she read in the 10th week?
65
3/8+1/4
5/8
Determine the type of pattern:
5, 15, 45, 135
geo
2, 4, 8, 14, 22, __, __
34,50
What is the common difference in the arithmetic sequence: 10, 6, 2, -2, ...?
-4
A loan of $1,000 has an interest rate of 5% compounded annually. What will be the total amount owed after 3 years?
$1,157.63
1/3+2/9
5/9
Determine the type of pattern:
8, 10, 12, 14, ...
arithmetic
5, 11, 23, 47, __, __
(95, 191)
In a geometric sequence, if the second term is 10 and the third term is 30, what is the common ratio?
3
In a geometric sequence, the first term is 4, and the common ratio is 2. What is the sum of the first 5 terms of the sequence?
124
5/6+1/3
7/6
Determine the type of pattern:
1, 1/2, 1/4, 1/8, ...
geo
1, 2, 4, 7, 11, __, __
(16, 22)