Help with Implicit Formula HW: 3, 9, 81, 65...

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The discussion focuses on finding an implicit rule for the sequence 3, 9, 81, 65, 61, 37. Participants note that the initial numbers seem to follow a pattern related to squaring the previous number, particularly with 3, 9, and 81. However, confusion arises with the transition to 65 and subsequent numbers, prompting questions about the accuracy of the sequence. Hints are provided regarding the squares of the numbers, but the challenge remains in formulating an implicit equation. Overall, the conversation highlights the difficulty in establishing a consistent rule for the entire sequence.
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Homework Statement



I have to find an implicit rule for this pattern, Can Someone please help me?

3, 9, 81, 65, 61, 37,... and so on

Homework Equations



Im stuck not sure how to approach and therefore get a rule

The Attempt at a Solution



I tried using the arithmetic and geometric formulas but I am not getting anywhere
 
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Hi Master7731! :smile:

Hint: what's 81 squared ? :wink:
 
i understand the 3,9,81, as it increase by the square of the previous number part but then it goes does to 65 which i dun understand at all
 
Is the problem copied down correctly? Are you sure there is a comma between 65 and 61? If so, does it give you any numbers after 37?
 
Master7731 said:
i understand the 3,9,81, as it increase by the square of the previous number part but then it goes does to 65 which i dun understand at all

Hint: what's 81 squared ?
 
omg thanks so much tiny-tim so i get it 81 squared is 6761 and 61 squared if 3721 but evne so i been trying to write an equation with no luck as its supposed to be in an implicit formula, so is it like Xn squared but then i dunt know what to write
 
Master7731 said:
omg thanks so much tiny-tim so i get it 81 squared is 6761 …

:biggrin: 6561, actually! :rolleyes:
 
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