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Best Answer

436 is the best choice for the next number in the sequence because:

  • 3x3=9-5=4
  • 5x5=25-5=20
  • 21x21=441-5=436

The Pattern: Square the term, then take away 5, add one, and square it again, and so on.

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Wiki User

8y ago
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Wiki User

10y ago

Un = (Un-1)2 for n = 3k+1

Un = Un-1 - 5 for n = 3k+2

Un = Un-1 + 1 for n = 3k

In other words,

  • square the previous number
  • subtract 5 from the previous number
  • add 1 to the previous number
  • repeat.
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Wiki User

12y ago

436.

One possible sequence is Square, -5, +1, Sq, ...

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Wiki User

11y ago

None. "Complete" implies that the number you are seeking is the LAST one: there can be no more after it. The sequence given above can be continued infinitely and so cannot be completed.

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Wiki User

14y ago

436

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Q: Which number completes the sequence 3 9 4 5 25 20 21 441?
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