+0  
 
0
55
3
avatar

Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 21*4 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?

 May 16, 2023
 #1
avatar
0

So for your question , there are seven integers which we can put it like this:

n  + n+1   n+2 ....... n+6,which will equal  

7n + 21 which makes

 6 * (n+6) = 6n+36

7n+21  = 6n+36

n = 15

15 is the smallest number for your problem :)

 May 16, 2023
 #2
avatar
0

 

Please excuse my ignorance; I'm trying to learn.  

 

Where did the 6 come from in " 6 * (n+6) = 6n+36 " ?  

Guest May 16, 2023
 #3
avatar
0

6 is the 6th number in the sequence

Guest May 17, 2023

1 Online Users