# Worksheet: Finding the Arithmetic Sequence

In this worksheet, we will practice finding arithmetic sequences given some information about it.

**Q4: **

Find the arithmetic sequence for which and is the additive inverse of .

- A
- B
- C
- D
- E

**Q5: **

Find an arithmetic sequence given and .

- A
- B
- C
- D
- E

**Q7: **

The first and last terms of an arithmetic sequence are and 209 respectively. There are 21 terms between the first and last terms. Find the a list of these intermediate terms.

- A
- B
- C
- D
- E

**Q9: **

Find the arithmetic sequence in which the sum of the third and fourth terms equals , and exceeds by 8.

- A
- B
- C
- D

**Q10: **

Find the finite sequence , given and the twelfth-to-last term is .

- A
- B
- C
- D
- E

**Q11: **

Find the arithmetic sequence given and all terms are positive.

- A
- B
- C
- D
- E

**Q12: **

Find the arithmetic sequence given the sum of the second and fourth means is 198 and the seventh mean is greater than the third mean by 56.

- A
- B
- C
- D

**Q14: **

Determine the arithmetic sequence in which and .

- A
- B
- C
- D
- E

**Q15: **

Find the arithmetic sequence whose sixth term is 96 and the ratio between the fourth and tenth terms is .

- A
- B
- C
- D
- E

**Q16: **

Find the arithmetic sequence in which the sum of the second and third terms is , and the sum of their squares is 97.

- A or
- B or
- C or
- D or

**Q17: **

Find the increasing arithmetic sequence given and .

- A
- B
- C
- D
- E

**Q20: **

Find the arithmetic sequence given and . Then find the order and the value of the first term that exceeds 64.

- A, , 67
- B, ,
- C, ,
- D, , 67

**Q21: **

Find the sequence and its general term of all the even numbers greater than 62.

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

**Q22: **

Find the arithmetic sequence in which and the arithmetic mean of the third and sixth terms is .

- A
- B
- C
- D
- E