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Mathematics
9th -
12thgrade
Lesson 1-4: Arithmetic Sequences and Series
16 questions
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- 1. Fill in the Blank
What are the three formulas that pertain to arithmetic sequences? Write the formulas for each.
- 2. Fill in the Blank
An arithmetic sequence is described by the recursive formula shown. What is the explicit formula?
- 3. Multiple ChoiceFind the 22nd term of the following sequence:
5, 8, 11, ...14686371 - 4. Multiple Choice
Identify the common difference in the sequence below.
97, 86, 75, 64, ...
8
11
-11
-8
- 5. Multiple ChoiceFind the 25th term of the sequence if a1 = 5 and d = 0.518171514
- 6. Multiple Choice
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. Simplify your answer.
an = 4n + 29
an = - 4n + 25
an = - 4n + 29
an = 4n + 25
- 7. Multiple ChoiceThe next two terms of the sequence 4,7,10,13 are ....16 and 1915 and 1916 and 1815 and 18
- 8. Multiple Choice
Is the following sequence arithmetic? 17, 9, 1, -7, ...
Yes
No
- 9. Multiple ChoiceFind a26 in the arithmetic sequence: -15, -35, -55, -75, ...-515-490-535460
- 10. Multiple Choice
Find the sum of the arithmetic series described:
2 + (-2) + (-6) + (-10)..., S10
-160
-328
-320
-336
- 11. Fill in the Blank
There are 130 students in grade one, 210 students in grade two and 290 students in grade three in a primary school, and so on in an arithmetic sequence.
What is the total amount of students in the primary school?
(Assume the primary school has 6 grades)
- 12. Multiple Choice
The sequence 28, 34, 40, 46, 52, ..., 88 has 11 terms. Find the sum of the 11 terms.
550
638
610
288
- 13. Multiple Choicea1=5, a2=11, a15=?958981159
- 14. Multiple Choice
Evaluate:
305
503
53
8
- 15. Multiple Choice
Expand:
4, 6, 8, 10
4, 6, 8
5, 7, 9, 11
5, 7, 9
- 16. Fill in the Blank
An arithmetic sequence is described by the explicit formula
. What is the recursive formula for this sequence? - Answer choicesTagsAnswer choicesTags