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- 1. Multiple Choice
What is the next term in the sequence 12, 31, 40, 49, ... ?
56
57
58
59
- 2. Multiple Choice
Given the recursive formula below, find the first five terms.
u1 = 3
un = un-1 + 2
3, 5, 7, 9, 11
5, 7, 9, 11, 13
- 3. Multiple ChoiceGiven the first five terms, write the recursive formula.
15, 12, 9, 6, 3 ....u1 = 15
un = un-1 + 3u0 = 15
un = un-1 + 3u1 = 15
un = un-1 - 3u0 = 15
un = un-1 - 3 - 4. Multiple ChoiceGiven the recursive formula below, find the explicit formula.
a0 = 1
an = an-1 + 5an = 6 + 5nan = 1 + 5n - 5. Multiple ChoiceGiven the sequence below, write the explicit formula.
3, 8, 13, 18 ...un = 3 + 5nun = -2 + 5n - 6. Multiple Choice
The 6th term of the sequence 4,7,10,13 are
19
15
18
16
- 7. Multiple Choice
Given the sequence 4, 11, 18, 25...... what is a3 ?
4
11
18
25
- 8. Multiple Choice
A sequence is _______.
a set of numbers in a specific order.
a formula used to find a number.
the term after an.
a collection of data.
- 9. Multiple Choice
Which sequence has a pattern of "multiply by 4?"
2, 4, 8, 16,...
4, 12, 36, 108,...
1, 4, 7, 10,...
3, 12, 48, 192,...
- 10. Multiple Choice
Find the first four terms of the sequence.
an= 7(n + 2)
21, 28, 35, 42
7, 9, 11, 13
9, 16, 23, 30
16, 23, 30, 37
- 11. Multiple Choice
Find the first four terms of the sequence.
an= 3(4)n
12, 48, 192, 768
12, 144, 1728, 20736
12, 24, 36, 48
3, 12, 48, 192
- 12. Multiple Choice
Does this recursive routine model an increase or decrease?
U1 = 1000
Un+1 = Un*1.25
Decrease
Increase
- 13. Multiple ChoiceWhat is the explicit rule for the sequence:
11, 22, 44, 88...an = 2(11)n-1an = 11x2an = 11(2)n-1an+1 = an * 2; a1 = 11 - 14. Multiple ChoiceThe recursive formula is used to find the next value in a sequence of numbers.TrueFalse
- 15. Multiple ChoiceThe explicit formula is used to find a specific term in a sequence.TrueFalse
- 16. Multiple Choice
Does this recursive routine model growth or decay, and by what percent?
100, 80, 64, 51.2, ...
Un+1 = Un* 0.8
Growth, 80%
Growth, 20%
Decay, 80%
Decay, 20%
- 17. Multiple Choice
Write the recursive formula of 13, 9, 5, 1, -3, ...
an=an-1-4
an=an-1+3
an=an-1-5
an=an-1+4
- 18. Multiple ChoiceWrite a recursive rule for the sequence 17, 1, -15, -31 . . .an = an-1 + 16an = an-1 - 17an = an-1 - 15an = an-1 - 16
- 19. Multiple Choice
Write a recursive rule for the sequence 1, 2, 5, 14, 41, 122, …
an = (an-1)2 + 1
an = 2 an-1 - 2
an = 3 an-1 - 1
an = 3 an-1 + 1
- 20. Multiple Choice
Write an explicit rule for the sequence 2, 8, 26, 80, 242 …
an = 2n + n + 1
an = 3n - 1
an = 3n2 - 1
an = 3n + 1
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