SOLUTION: What is the arithmetic mean (ordinary average) of the 73 successive positive integers, starting with 5?

Question 1191248: What is the arithmetic mean (ordinary average) of the 73 successive positive integers, starting with 5?
Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
.
What is the arithmetic mean (ordinary average) of the 73 successive positive integers, starting with 5?
~~~~~~~~~~~~~~~

The first number is 5;  the 73-th number in the sequence is  5 + 73 - 1 = 77.


The arithmetic mean of the first and the 73-th number is   =  = 41.


The arithmetic mean of all 73 successive positive integers starting from 5 is the same number of 41.    ANSWER

Solved.

-----------------

For introductory lessons on arithmetic progressions see
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Arithmetic progressions".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

RELATED QUESTIONS
The arithmetic mean of the 5 consecutive integers starting with 's' is 'a'. What is the... (answered by richwmiller)

If S is a set of 5 positive, distinct integers with an average (arithmetic mean) of 9 and (answered by Edwin McCravy)

If the average (arithmetic mean) of four different positive integers is 50, what is the... (answered by jim_thompson5910,arallie)

If the average (arithmetic mean)of three different positive integers is 60, what is the... (answered by Fombitz)

if the average (arithmetic mean) of 5 consecutive integers is 12. what is sum of the... (answered by gonzo)

Which of the following can be the average (arithmetic mean) of four consecutive positive... (answered by htmentor)

The average (arithmetic mean) of 6,21,x and y is 13, where x and y are integers with a... (answered by dkppathak)

11 is both the median and the mode of a set of five positive integers. What is the... (answered by jim_thompson5910,Edwin McCravy)

Could you please help me with this question?: The average (arithmetic mean) of ten... (answered by Alan3354)