SOLUTION: The sum of 39 consecutive number is 1170, what is the largest of these 39 number could be?

Algebra.Com
Question 1155803: The sum of 39 consecutive number is 1170, what is the largest of these 39 number could be?
Found 3 solutions by greenestamps, josmiceli, MathTherapy:
Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


The sum of 39 consecutive integers is 1170, what is the largest of these 39 integers?

(If the sum of 39 consecutive integers is 1170, then there is only one integer that the largest one can be.)

The sum of the 39 integers is 1170; the average is 1170/39 = 30.

In a set of consecutive integers, the one in the middle is the average.

In a set of 39 consecutive integers, there is a middle number, with 19 larger integers and 19 smaller. So the smallest of the 39 integers is 30-19 = 11 and the largest is 30+19 = 49.

ANSWER: 49
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let be the first of the 39 consecutive numbers
is the 39th of the consecutive numbers
1 through are the numbers preceding the 39
consecutive numbers
--------------------------------------
The sum of the numbers is:

The sum of the 1 through numbers is:

Let the sum of the 39 consecutive numbers be







and


49 is the largest number
------------------------------
check:






OK
Definitely get a 2nd opinion if needed
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
The sum of 39 consecutive number is 1170, what is the largest of these 39 number could be?
Being consecutive numbers, this is an A.P.

With the equation for the sum of an A.P. series being: , we get:

                                                     

                                                     1st term, or 

nth term of an A.P.: 

                     ------ Substituting 39 for n, 11 for , and 1 for d

Last/Largest term/number, or  

RELATED QUESTIONS


The sum of three consecutive odd number is 39. Find the... (answered by Alan3354)

The sum of a number added to twice the number is 39.  What is the... (answered by ewatrrr)

The sum of 39 and some number is 103. What is the... (answered by Alan3354)

Putting These Into Word Problem? 

1)The sum of consecutive odd numbers is 39?

 (answered by richwmiller)

The sum of 3 consecutive odd numbers is 39.... (answered by ozymandias,josmiceli)

The sum of 3 consecutive odd numbers is 39.... (answered by checkley71)

The sum of 3 consecutive odd numbers is... (answered by jim_thompson5910)

the sum of three consecutive odd numbers is... (answered by jim_thompson5910)

If the average of 7 distinct odd numbers is 39, the smallest number is 31 and the largest  (answered by Boreal,Alan3354)