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Write summation notation

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Question: 1. Write F1 + F3 + F5 + ··· + F2n-1 in summation notation. Then show that F1 +F3 +F5 +···+F2n-1 = F2n.

2. Write F2 +F4 +F6 +···+F2n in summation notation. Then show that F2 + F4 +F6 +···+F2n = F2n+1 -1.

3. Prove that F3n is even.

4. Write F1 - F2 + F3 - F4 + ··· + F2n-1 - F2n in summation notation. Then show that F1 -F2 +F3 -F4 +···+F2n-1 -F2n = 1-F2n-1.

Reference no: EM131585286

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