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?
Stacey Warren - Expert brainly.com
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hmmm pyramid numbers...
well the first few pyramid numbers are: 1,5,14,30,55,91,140,....
And the n term can be given by :
so you have the 99th term which is given by:
anyways let me give you an example of what is going on here:
say we have the 3rd term which is given by:
which is 3(4)(7)/6=12(7)/6=2(7)=14
and we wanted to know what to add to 14 to get the next term
well notice we are adding squared numbers in that series above
so 14+4^2 to get the 4th term from the 3rd term
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1 + 4 = 5
5 + 9 = 14
14 + 16 = 30
30 + 25 = 55
Notice that to find the 2nd pyramidal number, you add 4 = 2^2 to the first one.
That means to find the 100th pyramidal number, you add 100^2 to the 99th number,
so in general to find the (n+1)th term from the nth you do:
where n(n+1)(2n+1)/6 was the nth term
and (n+1)^2 was what you needed to add to get the next number (that I called (n+1)th