NGAGEMENT I Can Do This! 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.
5. The fifteenth term of an arithmetic sequence is -3 and the first term is 25 Find the common difference and the tenth term.

Answer:

1.) 20, 26, 32, 38

solution:
38= 20+(4-1)d
38 = 20+3d
38-20 = 3d
18/3 = 3/3d
6 = d

2.) 52, 49, 46, 43, 40

Solution:
40 = 52+(5-1)d
40-52 = 4d
-12/4 = 4d
-3 = d

3.) 5,9,13,17,21,25

Solution
25 = 5+(6-1)d
25-5 = 5d
20/5 =5d/5
4 = d

4.) 0,2.5,5,7.5,10,12.5,15

Solution:
15 = 0+(7-1)d
15 = 0+6d
15/6 = 6d/6
2.5 = d

5.) 25,8,-9,-26,-43,-60,-77,-94,-111,-128,-145,-162,-179,-196,-123


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