Consider the Fibonacci sequence f defined as follows: fi = 1 f2 = 1 fn = fn-1 + fn-2 if n> 2 1(a) Prove that the following statement is true for all integers n2 6. n-1 < fn < n-1 [Hint: use mathematical induction or strong induction]

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.