Let f1, f2, . . . , fn , . . . be the Fibonacci sequence. (a)

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Let f1, f2, . . . , fn , . . . be the Fibonacci sequence.
(a) Use mathematical induction to prove that f1 + f2 + . . . + fn = fn +2 − 1.
(b) Find the sum of the first 20 terms of the Fibonacci sequence.
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