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8. (a) Determine (1 + 3)/( 5 + 7) , (1 + 3 + 5 )/(7...

8. (a) Determine (1 + 3)/( 5 + 7) , (1 + 3 + 5 )/(7 + 9 + 11) , and (1 + 3 + 5 + 7)/( 9 + 11 + 13 + 15 ). (b) Find a formula for (1 + 3 + 5 + · · · + (2n − 1))/((2n + 1) + (2n + 3)+· · + (4n − 1)) for all n ∈ Z + and then prove it.

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