SOLUTION: The sum of 6 consecutive odd numbers is 84. What is the third number in this sequence?

Question 935511: The sum of 6 consecutive odd numbers is 84.
What is the third number in this sequence?

Found 3 solutions by Alan3354, Fombitz, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The sum of 6 consecutive odd numbers is 84.
What is the third number in this sequence?
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84/6 = 14, the center of the set.
There are 3 integers below 14 and 3 above.
--> 9,11,13,15,17,19

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

The third number is

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

The sum of 6 consecutive odd numbers is 84.
What is the third number in this sequence?

STEP 1:
Use the formula for the sum of an AP (arithmetic sequence) to determine the 1st term
STEP 2:
Use the formula for determining the term value in an AP to find the 3rd term
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