Finding the General Term for Perfect Squares

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    General Squares Term
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SUMMARY

The discussion centers around finding a general term for sequences of perfect squares, specifically using the equations a1=2²+3²+6², a2=3²+4²+12², and a3=5²+5²+20². Participants clarify a typo in the equation for a3, correcting it to a3=4²+5²+20². The conversation concludes with one participant confirming they have found the solution, indicating successful collaboration.

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  • Understanding of perfect squares in mathematics
  • Familiarity with algebraic notation and sequences
  • Basic knowledge of mathematical problem-solving techniques
  • Ability to identify and correct typographical errors in equations
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  • Research the properties of perfect squares in number theory
  • Explore mathematical sequences and series
  • Learn about algebraic manipulation and simplification techniques
  • Investigate common mathematical typos and their implications in problem-solving
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Mathematics students, educators, and enthusiasts interested in number theory and algebraic sequences.

sachinism
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a1=22+32+62

a2=32+42+122

a3=52+52+202

Using these, gIve a general term for an such that an is always a perfect square
 
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hi sachinism! :smile:

you mean a3=42+52+202

does that make it easier? :wink:
 
tiny-tim said:
hi sachinism! :smile:

you mean a3=42+52+202

does that make it easier? :wink:

yup u r right

that was a typo from me

and you

i got the soln now

thx
 

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