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An equation to organize perfect squares in a sequence.

I have created an equation, I do not know if it has been made before. It organizes all of the perfect squares into a sequence.

\( s_{n}=((sqrt(s_{n-1})*2)+1)+s_{n-1} \) Please note, I made this as a result of boredom. This is my first time posting a note or equation, do not mind the formatting errors. \( s_{1}=1 \)

Note by Ethan Molin
2 years, 2 months ago

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Interesting, I must have input the equation incorrectly. Thank you for notifying me of this. Ethan Molin · 2 years, 2 months ago

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Are you sure the equation is correct? I'm getting \( s_3 = 13 \). Siddhartha Srivastava · 2 years, 2 months ago

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@Siddhartha Srivastava I have corrected the error, thank you for informing me of this. Ethan Molin · 2 years, 2 months ago

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Essentially, \(\displaystyle (a+1)^2=(a^2+2a+1)\). Satvik Golechha · 2 years, 2 months ago

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@Satvik Golechha Yes, but I was purposefully attempting to complete this without exponents. Ethan Molin · 2 years, 2 months ago

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