Prove that your answer to (ii) is correct
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Prove that your answer to (ii) is correct

Fix an integer r. For all integers n ≥ 0, define hn = rn. For the sequence  we compute the difference table, to get the diagonal sequence 

(i) Find C0, C1, C2, C3.

(ii) Find cn for all n.

(iii) Prove that your answer to (ii) is correct.

Hint
MathematicsA sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite)....

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