In this worksheet, we will practice working with sequences in recursive form.

**Q3: **

Find the arithmetic sequence in which and .

- A
- B
- C
- D

**Q4: **

Given that and that for , find a formula for in terms of .

- A
- B
- C
- D
- E

**Q5: **

Find given and .

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- B
- C
- D

**Q6: **

The term in a sequence is given by . Find the first six terms of this sequence, given that .

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- B
- C
- D

**Q7: **

Find, in terms of the general term of the sequence which satisfies the relation , where and .

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- B
- C
- D

**Q8: **

The sequence , where , is given by

List the next 6 terms .

- A , , , , ,
- B , , , , ,
- C , , , , ,
- D , , , , ,
- E , , , , ,

By listing the elements , give a formula for , in terms of , for .

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- B
- C
- D
- E

Give a formula for , in terms of , for .

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- B
- C
- D
- E

Give a formula for , in terms of , for .

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- B
- C
- D
- E

Give a formula for , in terms of , for .

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- B
- C
- D
- E

What is ?

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- B
- C
- D
- E

Solve for .

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- B
- C
- D
- E

What is the range of the function ?

- Athe set of negative integers
- Bthe set of negative rationals
- Cthe set of postive rationals
- Dthe set of all integers
- Ethe set of positive integers

**Q9: **

Consider the following sequence of dots.

What is the function such that is the number of dots in the th pattern?

- A
- B
- C
- D
- E

**Q10: **

The graph represents the triangle wave function , which is periodic, piecewise linear, and defined for all real numbers.

List the values of , , and .

- A1, 1, 1
- B0, 1, 1
- C0, , 1
- D0, 0, 0
- E1, , 0

List the values of , , , and .

- A1, , 1, 1
- B , , 1, 1
- C1, 1, 1, 1
- D1, , 1,
- E1, 1, , 1

What is ?

- A
- B1
- C0
- Dundefined

If we are given that is negative, what can we conclude about the number ?

- A There is some integer for which .
- B is an even integer.
- C There is some integer for which .
- D is an odd integer.

Find the equation of the line segment on which the point lies.

- A
- B
- C
- D
- E

Hence find the value of correct to 3 decimal places.

- A16.850
- B
- C12.283
- D
- E4.429

**Q11: **

Given the sequence defined by , where and , find the value of .