(1) Evaluate the sums and products below for a few small values of n. Then make...

 

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(1) Evaluate the sums and products below for a few small values of n. Then make a conjecture about the value of the sum and product for all positive integers n, and prove your conjecture by induction. 1 j=1 j(j+1) (2) n (b) 3j j=0 [Hint: For (b), try doubling the numbers and adding 1.] (1) Evaluate the sums and products below for a few small values of n. Then make a conjecture about the value of the sum and product for all positive integers n, and prove your conjecture by induction. 1 j=1 j(j+1) (2) n (b) 3j j=0 [Hint: For (b), try doubling the numbers and adding 1.]