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1. Arithmetic Means a. Find the arithmetic means of an arithmetic sequence. b. Insert a certain number of terms between two given terms of an arithmetic sequence. c. Appreciate arithmetic means in solving real life problems .

2. DRILL Direction: Find the missing terms. 1. 2, 6, 10, ___, ___, ___ 2. 9, 17, ___, ___, ___, 49 3. 7, 9, ___, ___, 15, ___ 4. 4, ___, 20, 28, ___, ___ 5. 5, ___, ___, 20, 25, ___ 6. ___, ___, ___, 3, –1, –5 7. ___, ___, 14, 20, __, 32 8. ___, 45, 40, ___, __, 25 9. 4, –4, __, __, __, –36 10. –12, __, __, __, 8, 13

3. Arithmetic Means are the terms between any two nonconsecutive terms of an arithmetic sequence. It is necessary to solve the common difference of an arithmetic sequence to insert terms between two nonconsecutive terms of an arithmetic sequence.

4. Arithmetic Means Formula: last tes m nno . of terms 1 st term dcommon difference  

5. Arithmetic Means Illustrative Example 1: Insert three arithmetic means between 3 and 11.

6. Arithmetic Means . Insert two terms in the arithmetic sequence 15, ___, ___, 36. Given: a1 = __ ; n = __ ; a4 = ____

7. Answer the following. 1. Insert two arithmetic means between 20 and 38. 2. Insert three arithmetic means between 52 and 40. 3. Find the missing terms of the arithmetic sequence 5, __, __, __, __, 25. 4. Find the missing terms of the arithmetic sequence 0, __, __, __, __, __, 15.

8. C omplete the arithmetic sequence below. Show your solution. 1. 2, ___, ___, 14 2. 4, ___, ___, ___, 10 3. 6, ___, ___, ___, 16 4. 9, ___, ___, ___, __, 24 5. ___, 17, ___, ___, 11