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  3. 5 this is not a problem to look up but...

Question: 5 this is not a problem to look up but...

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5. This is not a problem to “look up” but one to think about – can you figure it out? Here’s an Identity: 1+3+5+ . . . + (2n-1) = n2 for all n 1

a. In your own words, describe what the identity states (what kind of numbers are on the left hand side of the equation? What do we find on the right hand side?

b. What does this picture have to do with the identity?

c. Show the identity works for 1+3+5 d. Use the identity to find the sum of 1+3+5+ . . . + 99

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