Math

posted by .

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 -

    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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry

    CounterExamples and Inductive Reasoning and Conjectures?
  2. math

    Which of the following can be the average(arithmetic mean ) of four consecutive positive even integers?
  3. math

    Which of the following can be the average(arithmetic mean ) of four consecutive positive even integers?
  4. Math

    FIve players played a scored board game. If the average ( arithmetic mean) of the scores of the five players was 21, and if each person had a positive integer score, what is the greatest score any one player could have obtained?
  5. 11th grade mths

    Please check urgently .I have to submit the assignment A give an example of a function whose domain equals the set of real numbers and whose range equals the set?
  6. math

    Using these integers:-1,+6,-8,+3,-2 a) Which integers have the greatest product?
  7. math

    5. The sum of 7 unequal positive integers is 61. What is the largest possible value that any of those integers can have?
  8. algebra

    Simplify. 3 - 2(4 - 7) รท 9 i don't know what ta dooooo after i subtract 4 and 7 which is -3 then multiply 2 which is -6 then i don't know what to do afterwards, i know pemdas so -6 divided by 9 cannot be so please help on that. the …
  9. Math

    If n+1 is the largest of four consecutuve integers, represent the sum of four integers. A 4n+10 B 4n-2 C 4n-4 D 4n-5 E 4n-8 I really don`t understand this question so I can`t provide my work. Can someone please explain to me how to …
  10. MATH PLEASE SHOW WORK

    Three consecutive odd intergers are such that the sum of the squares of the first two integers is 54 more than 20 times the third integer. Determine the three integers. Please help and show all work thank you SHOW WORK SO I UNDERSTAND …

More Similar Questions