SOLUTION: The traveler account 96 layers in the stack (so the bottom layer has 96 pipes) The traveler pays $ .12 Per pound of scrap metal and estimates that each pipe weighs 8 pounds.
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Question 1181352: The traveler account 96 layers in the stack (so the bottom layer has 96 pipes) The traveler pays $ .12 Per pound of scrap metal and estimates that each pipe weighs 8 pounds.
(1 pipe on top, 2 pipes in the second, 3 pipes on the third layer and so on)
How many total pipes are in the stack?
How much does a traveler offer to pay for all the pipes? Answer by ikleyn(52887) (Show Source):
The number of pipes is this sum
1 + 2 + 3 + 4 + . . . + 96. (*)
It is the sum of the first 96 natural numbers (arithmetic progression).
It is well known fact that the sum of the first "n" natural numbers is equal to .
So, in your case the sum of the numbers (*) is equal to = 4656.
The last step in solution of this problem is to multiply the found number of pipes 4656 by 8 and by 0.12
to get the answer in dollars.
I leave it to you to complete this simple calculation.
