Joey M.

asked • 08/31/16

what is the next number in the sequence 6,9,15,24,39,63?

pls help im bouta die i need help please.

1 Expert Answer

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Namita S. answered • 08/31/16

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6,9,15,24,39,63
 
In this case
 
first number + second number= next number
 
6 + 9 = 15
 
9+ 15=24
 
15 + 24 = 39
 
24 + 39= 63
 
so next number is
 
39 + 63 = 102
 
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John T.

tutor
Now all we need is a recursive function for this!
 
an = an-2 + an-1
 
All of the terms will be multiples of 3 but not always of 6 or 9. I haven't gotten any farther though.
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08/31/16

David W.

Recursive definition:
a1 = 6                     [base case for n=1]
a2 = 9                     [base case for n=2]
an = an-2 + an-1        [recursive case for n>2]
 
Looks amazingly like Fibonacci sequence.
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08/31/16

Kenneth S.

It IS a 'generalized' Fibonacci sequence because of the rule" "add the two most recent terms to obtain next term." 
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08/31/16

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