4. (a) Find the sum of the first k even positive integers, as a direct consequence of...
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4.
(a) Find the sum of the first k even positive integers, as a direct consequence of the formula for the sum of the first k positive integers.
(b) From the sum of the first 2k integers, find by subtraction the sum of the first k odd numbers.
(c) Prove the result of
(b) directly by induction.
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