Question: a. Use the Pulverizer (extended Euclidean algorithm) to express gcd(252,356) as a linear combination of 252 and 356. Show all steps. b. Recall the Fibonacci

a. Use the Pulverizer (extended Euclidean algorithm) to express gcd(252,356) as a linear combination of 252 and 356. Show all steps.

b. Recall the Fibonacci numbers: a. Use the Pulverizer (extended Euclidean algorithm) to express gcd(252,356) as a

Find the simplest possible expression for linear combination of 252 and 356. Show all steps. b. Recall the. Prove the validity of your answer.

(Hint: Calculate the gcd by hand for a few small values; then prove your hypothesis.)

c. Is it true that three consecutive Fibonacci numbers are always pairwise relatively prime? Prove your answer.

Fo=0.F1 = 1,Yn > 2 : Fn = Fn-1 + Fn-2

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