Arithmetic means

1. Arithmetic
Means
Dariel I. Ojera, MSc., LPT.

2. Review on finding the nth term of an
Arithmetic Sequence
https://quizizz.com/admin/quiz/paper_mode/65
026cbd68800fadc646d082?searchLocale=

3. Definition of terms
Arithmetic extremes - The first and last terms of a
finite arithmetic sequences.
Arithmetic means - the terms in between the
arithmetic extremes

4. Let’s Try!
In the sequence: 4, 8, 12, 16, 20, 24. What are the (a)
arithmetic means, (b) arithmetic extremes.

5. Examples:
1. What is the arithmetic mean between 10 and 24?
2. Insert three arithmetic means between 8 and 16.
3. Insert two arithmetic means between 2 and 4 2
√ √
4. Find the missing terms of the arithmetic sequence:
_____, 6, _____, _____, 30.
5. What is the arithmetic mean between the two given
arithmetic extremes? 1. 5 and 19
6. Insert two arithmetic means between and

6. Solution:
1. What is the arithmetic mean between 10 and 24?

7. 2. Insert three arithmetic means between 8 and 16.

8. 3. Insert two arithmetic means between 2 and 4 2
√ √

9. 4. Find the missing terms of
the arithmetic sequence: _____,
6, _____, _____, 30.
5. What is the
arithmetic mean
between the two given
arithmetic extremes? 1.
5 and 19

10. 6. Insert two arithmetic means between and

11. Activity 5.a
Solve for the arithmetic mean of each of the pairs of
arithmetic extremes. Write your answer on your answer
sheet.
1. 86, _____, 45
2. 135, _____, 170
3. 50, _____, - 30
4. 125, _____, 60
5. 43, _____, 89

12. Activity 5.b
Activity 2: Find the missing terms of the following
sequence. Write answer on your answer sheet.
1. 15, _____, _____, _____, _____, 45
2. _____, 7, 13, _____, _____
3. _____, 4, _____, 18, _____
4. _____, 9, _____, _____, 36
5. 16, _____, _____, _____, 32

13. Solution:
2. Insert three arithmetic means between 8 and 16.

14. Solution:
3. Insert two arithmetic means between 2 and 4 2
√ √

15. Solution:
4. Find the missing terms of the arithmetic sequence:
_____, 6, _____, _____, 30.

16. Solution:
5. What is the arithmetic mean between the two given
arithmetic extremes? 1. 5 and 19

17. Solution:
6. Insert two arithmetic means between and

18. Activity 6
A. What is the arithmetic mean between the given
arithmetic extremes?
1. 19 and 7
2. and
3. and
B. Insert the specified number of arithmetic means
between the given arithmetic extremes.
4. Three arithmetic means between -14 and 6.
5. Five arithmetic means between 6 and -18.

19. Arithmetic
Means
Dariel I. Ojera, MSc., LPT.