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Arithmetic Sequences
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Arithmetic Sequences
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25 Questions

1. Is the pattern an arithmetic sequence? Why?
2, 5, 8, 11, _______, _______

2. Write the first five terms of the sequence, explain what the fifth term means in context to the situation.
A baby's birth weight is 7 lbs. 4 oz., the baby gains 5 oz. each week.

3. term

4. term number

5. Find the next three terms in the sequence: 3, 7, 11, 15, ...

6. Find the 72nd term in the sequence: 5, -1, 3, 7, ..

7. common difference

8. Find the next three terms in the sequence: 4, -1, -6, ...

9. Simplify the following arithmetic sequence explicit formulas
1. A(𝑛) = -9 + (𝑛-1)6
2. A(𝑛) = 1/5 + (𝑛 - 1)4/5

10. What is the Explicit Formula/Function Rule of an arithmetic sequence? And, what does each variable represent?

11. sequence

12. Find the second, fourth, and eighth terms of the sequence.
A(𝑛) = 1/5 + (𝑛 - 1)4/5

13. Find the first, second, fifth, and ninth terms of the sequence.
A(𝑛) = -9 + (𝑛-1)6

14. Is the pattern an arithmetic sequence? Why?
3, 9, 27, 81, _______, _______

15. Write the first five terms of the sequence, explain what the fifth term means in context to the situation.
The balance of a car loan starts at $4,500 and decreases $150 each month.

16. Find the nth term in the sequence. (Write the explicit formula): 10, 12, 14, 16, ...

17. Arithmetic Means

18. Find the 12th term in a sequence with common difference -8 and first term 58.

19. Find the 10th term in the sequence: -5, -2, 1, 4, ...

20. Is the pattern an arithmetic sequence? Why?
9, 15, 21, 27, _______, _______

21. Find the common difference in the sequence: 10, 3, -4, -11, ...

22. Is the pattern an arithmetic sequence? Why?
1, 4, 9, 16, _______, _______

23. Find the 21st term in the sequence.

-4, 1, 6, 11, 16, ...

24. Find the nth term (Write the explicit formula): -12, -2, 8, 18, ...

25. consecutive terms

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