SOLUTION: an arithmetic sequence is shown below . you are not given many terms of the sequence , but you do have enough to fill in the missing number . what number goes in the blank ? 14 ,

Algebra ->  Sequences-and-series -> SOLUTION: an arithmetic sequence is shown below . you are not given many terms of the sequence , but you do have enough to fill in the missing number . what number goes in the blank ? 14 ,       Log On


   

Question 1094571: an arithmetic sequence is shown below . you are not given many terms of the sequence , but you do have enough to fill in the missing number . what number goes in the blank ? 14 , ______ , 56
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
The missed term is the arithmetic mean of its neighbors:

x = %2814+%2B+56%29%2F2 = 35.


See the lesson
    - One characteristic property of arithmetic progressions
in this site.


There is a bunch of lessons on arithmetic progressions in this site:
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
    - Mathematical induction and arithmetic progressions
    - One characteristic property of arithmetic progressions
    - Solved problems on arithmetic progressions