# Worksheet: Arithmetic Mean

In this worksheet, we will practice finding the arithmetic means for any two nonconsecutive terms in an arithmetic sequence.

**Q1: **

Find the number of the arithmetic means inserted between and 101 given the twelveth mean is 8 times the second one.

**Q3: **

Find the number of arithmetic means inserted between 194 and 90 given the ratio between the second and the last means is .

**Q4: **

If arithmetic means are inserted between and , where the fourth mean exceeds the sum of the two means whose orders are and by 52, determine .

**Q13: **

Find the last arithmetic mean when 27 means are inserted between and .

**Q16: **

An arithmetic sequence is . Find the value of .

- A or
- B or
- C or
- D or 3
- E or

**Q17: **

Find all the possible values of that make an arithmetic sequence.

- A, 11
- B2,
- C3,
- D1,

**Q20: **

Find the arithmetic mean between and for the arithmetic sequence .

- A
- B
- C
- D
- E

**Q21: **

The numbers , , and form an arithmetic sequence. What is ?

**Q22: **

Find the eight arithmetic means between and .

- A
- B
- C
- D

**Q23: **

The sequence is an arithmetic sequence. What are the possible values of if ?

- A80
- B40
- C798
- D
- E

**Q24: **

Find the arithmetic mean between and .

- A
- B
- C
- D
- E

**Q25: **

Insert 24 arithmetic means between and .

- A
- B
- C
- D
- E