clamin
  • clamin
The 99th pyramidal number is 328,350. That would make quite a stack of basketballs! What number must you add to 328,350 to get the 100th pyramidal number? a. 100 b. 328,350 c. 10,000 d. 55 e. 1000
Mathematics
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SOLVED
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chestercat
  • chestercat
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FibonacciChick666
  • FibonacciChick666
What have you tried?
clamin
  • clamin
Im actually confuse of this question because theres no number of 100th
FibonacciChick666
  • FibonacciChick666
Well, you have a formula to calculate pyramidal numbers right?

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clamin
  • clamin
Im not sure
FibonacciChick666
  • FibonacciChick666
ok, let's start with, what is a pyramidal number?
clamin
  • clamin
328,350
FibonacciChick666
  • FibonacciChick666
no, my bad, I mean, what is the definition of a pyramidal number?
clamin
  • clamin
Pyramidal sequence isna sequence of numbers that are the sum of perfect squares.
FibonacciChick666
  • FibonacciChick666
ok, that is a version. check out this one, specifically look at the picture to get an understanding of the concept in 3D http://mathworld.wolfram.com/SquarePyramidalNumber.html
clamin
  • clamin
I cant open it I thibk its becuase im only using my phone
FibonacciChick666
  • FibonacciChick666
ok, well if you can, google "wolfram square pyramidal number"
FibonacciChick666
  • FibonacciChick666
it will make a lot more sense if you can visualize this concept
inkyvoyd
  • inkyvoyd
hint: pyramidal numbers are formed by adding consecutive perfect squares. as in 1+4+9+16+25+36+... That should be enough to get you to the answer.
clamin
  • clamin
is it 100
clamin
  • clamin
@inkyvoyd
FibonacciChick666
  • FibonacciChick666
not 100
clamin
  • clamin
10,000
FibonacciChick666
  • FibonacciChick666
maybe take a look at one of the other questions on this you posted before for the sequence
FibonacciChick666
  • FibonacciChick666
and yes. 100^2
inkyvoyd
  • inkyvoyd
1+4+9+16+25+36+... \(1+2^2+3^2+4^2+5^2+6^2+...+99^2+100^2\)

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