Fibonacci Fact:F 2 n +2F n F n+1 +F 2 n+1 =F 2 n+2 a) test this statement with a

Question

Fibonacci Fact:F2n+2Fn Fn+1+F2n+1=F2n+2
a) test this statement with at least two setsof Fibonacci Numbers b) prove the statement using algebraictechniques
when i tried to use the sets ( 3,5,8) and thenthe set (13,21,34) the fact came out invalid
Can you solve try two sets and determine if thefact is valid. and then prove the fact using algebraictechniques

a) test this statement with at least two setsof Fibonacci Numbers b) prove the statement using algebraictechniques
when i tried to use the sets ( 3,5,8) and thenthe set (13,21,34) the fact came out invalid
Can you solve try two sets and determine if thefact is valid. and then prove the fact using algebraictechniques

Explanation / Answer

I can help you with the first part of the problem. It doescome out to be a valid statement. 32 + 2*3*5+52 = 9 + 30 + 25 = 64 and 64 is equal to 82 as was stated. and 132 + 2*13+21 + 212 = 169 + 546 + 441 =1156 which equals 342 good luck!

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