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Mathematics
11th
grade
Arithmetic and Geometric Sequences and Series Quiz Review
15 questions
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- 1. Multiple Choice
Evaluate the geometric series described.
3+15+75+375+..., n=6
11,718
9,769
10,603
-3/4
- 2. Multiple Choice
Evaluate the geometric series
1-2+4-8..., n=8
1/3
-87
-86
-85
- 3. Multiple Choice
a₁=2, r=−2, Sn = 22
Determine the number of terms n in the series
6
8
7
5
- 4. Multiple Choice
−4, −12, −36, −108, ...
Find the common ratio
r=−2
r=3
r=−3
r=2
- 5. Multiple Choice
4, 24, 144, 864, ...
Find the next 3 terms
1024, 4096, 16384
256, −1024, 4096
256, 1024, 4096
5184, 31104, 196624
- 6. Multiple Choice
1, −2, 4, −8, ... Find a₁₁
−512
1024
−1024
512
- 7. Multiple Choice
Which of the following is not an Arithmetic Progression?
1, 4, 7, 10, .....
3, 7, 12, 16, ......
-5, -2, 1, 4, .....
11, 14, 17, 20, .....
- 8. Multiple Choice
Find the 10th term.
16
21
12
30
- 9. Multiple Choice
An arithmetic sequence has a₁₅=160 and a common difference of -15. Find a₄₀.
535
-170
370
-215
- 10. Multiple ChoiceIs this sequence Arithmetic, Geometric, or Neither?
{2, 9, 7, 14, 12, 19, ... }ArithmeticGeometricNeither - 11. Multiple ChoiceFind the 32nd term of this sequence.
34, 37, 40, 43, ...3264127356 - 12. Multiple ChoiceFind the 25th term of the sequence if a1 = 5 and d = 0.518171514
- 13. Multiple Choice
What are the next 3 terms in the following geometric sequence:
512, 256, 128, ___, ___, ___, ...
1024, 2048, 4096
32, 8, 2
64, 32, 16
92, 66, 38
- 14. Multiple ChoiceWrite the explicit formula for the geometric sequence.an = 4(3)n-1an = 3(4)n-1an = -4(3)n-1an = 3(-4)n-1
- 15. Multiple ChoiceFind the first four terms of the sequence given the rule:
an = 4(5)n-120, 100, 500, 25005, 20, 80, 3204, 20, 100, 5004, 9, 14, 19 - Answer choicesTagsAnswer choicesTags