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. \( s_{1}=1 \)

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

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

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– Ethan Molin · 2 years ago

I have corrected the error, thank you for informing me of this.Log in to reply

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

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– Ethan Molin · 2 years ago

Yes, but I was purposefully attempting to complete this without exponents.Log in to reply