Posted by Sarah on Wednesday, August 15, 2012 at 7:26pm.
Which of the following CANNOT be the average ( arithmetic mean) of four positive even integers?
a) 1
b) 2
c) 6
d) 9
e) 17
( please explain or show work. It will help me understand it better! Thanks)

Math  MathMate, Wednesday, August 15, 2012 at 8:13pm
To give an example, 17 can be thought of as
(6+6+6+6)/4=6
or
(17+17+17+17)/4=17
Since they are not all even, we can adjust by adding 1 to a number, and subtracting 1 from the next, such as:
(18+16+18+16)/4=17
So work in a similar way for all the given choices until you find one that does not satisfy the conditions that
1. all numbers must be positive (i.e. ≥ 1).
2. all numbers must be even
Answer This Question
Related Questions
 math  Which of the following can be the average(arithmetic mean ) of four ...
 math  Which of the following can be the average(arithmetic mean ) of four ...
 Math  If n+1 is the largest of four consecutuve integers, represent the sum of ...
 algebra  Simplify. 3  2(4  7) รท 9 i don't know what ta dooooo after i ...
 Math  FIve players played a scored board game. If the average ( arithmetic mean...
 MATH PLEASE SHOW WORK  Three consecutive odd intergers are such that the sum of...
 math  the average of 4 concecutive even integers is 17. find the integers ...
 math  Using these integers:1,+6,8,+3,2 a) Which integers have the greatest ...
 Geometry  CounterExamples and Inductive Reasoning and Conjectures? Make a ...
 11th grade mths  Please check urgently .I have to submit the assignment A give ...
More Related Questions