SOLUTION: You have 9 logs to form a triangle. The bottom row is 4, then 3 then 2 = 9 logs. What is the amount on the bottom row if you have 2015 logs?

Algebra.Com
Question 981967: You have 9 logs to form a triangle. The bottom row is 4, then 3 then 2 = 9 logs.
What is the amount on the bottom row if you have 2015 logs?

Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
You have 9 logs to form a triangle. The bottom row is 4, then 3 then 2 = 9 logs.
What is the amount on the bottom row if you have 2015 logs?
-----------
1000, 1000 & 15 will make a triangle.
======================================
***

Answer by Edwin McCravy(20063)   (Show Source): You can put this solution on YOUR website!
The other tutor doesn't have a clue as to what you want.

Starting at the top row with 2 logs, then three logs, etc., it's
 

 

 
, , 
 

 

 

 
Multiply both sides by 2 to clear the fraction:
 
4030 = n(3+n)
 
4030 = 3n+n²
 
0 = n²+3n-4030
 
To factor that we have to find two integers that
multiply to give 4030 and have a difference of 3.
That's such a small difference in comparison to 4030
they would have to both be near the square root of 
4030 which is about 63.5.  63 doesn't go evenly into 
4030, but 62 does. so 62×65=4030 so it factors this
way:
 
0 = (n-62)(n+65)
 
n-62 = 0   n+65 = 0
   n = 62     n = -65   <-- ignore since negative

So there are 62 rows of logs.  The bottom row of logs
has as many logs as the 62nd term. 

Now we find what the 62nd term is







 logs.
 
Edwin

RELATED QUESTIONS

A 12-wheeler truck is loaded with 13 piles of log. The bottom row contains 25 logs. Each... (answered by ikleyn)
Log area stacked in a pile. The bottom row has 21 logs and the top row has 15 logs. Each... (answered by Alan3354)
I need help solving this matrice problem dealing with systems. 2x+4y=2 -3x+y=11... (answered by ikleyn)
logs are stacked in a pile with 24 logs on the bottom row and 15 on the top row. there... (answered by greenestamps,MathTherapy)
The object is to start with the letter A on top and to move down the diagram to the C at... (answered by Edwin McCravy)
If you could please help me solve this whole entire input output equation that would be... (answered by solver91311)
What is the next step in solving this augmented matrix using the Gauss-Jordan elimination (answered by ikleyn)
To whomever gets this problem. I know that this is probably in the wrong catagory but I... (answered by longjonsilver)
Drawing: Rectangle containing 8 circles of equal size (4 on top row, 4 on bottom row)... (answered by Earlsdon)