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Find a simplified formula for 1+3+5...+(2n-3)+(2n-1), write in terms of n.

I dont know where to start here, could someone give me some insight?

 Oct 1, 2022
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Let S=1+3+5+...+(2n-3)+(2n-1)

Then S=(2n-1)+(2n-3)+...+5+3+1

Since S has n terms, and if you add the corresponding terms, the sum is 2n, we have 2S=2n*n, so S=n^2.

I hope this helped!

 Oct 2, 2022

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