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

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of 6 consecutive odd numbers is 84. What is the third number in this sequence?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (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?
==============
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) About Me  (Show Source):
You can put this solution on YOUR website!
%28N-6%29%2B%28N-4%29%2B%28N-2%29%2B%28N%29%2B%28N%2B2%29%2B%28N%2B4%29=84
6N-6=84
6N=90
N=15
The third number is N-2
N-2=13

Answer by MathTherapy(10556) About Me  (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

===================

If you need a complete and detailed solution, let me know!!

Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

Further help is available, online or in-person, for a fee, obviously. 



For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams,GENERAL

MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra, 

Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,

GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/.