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(a) Compute the Fibonacci numbers F_(n) for 0 . Fill in the table. table[[ n= ,0,1,2,3,4,5,6,7,8,9,10,11,12],[ F_(n)= ,0,1,1,2,3,5,8,13,21,34,55,89,144]] (b) Find all the terms of the

(a) Compute the Fibonacci numbers

F_(n)

for

0

. Fill in the table.\ \\\\table[[

n=

,0,1,2,3,4,5,6,7,8,9,10,11,12],[

F_(n)=

,0,1,1,2,3,5,8,13,21,34,55,89,144]]\ (b) Find all the terms of the Collatz

(3x+1)

sequence until 1 is reached, for

C[0]=52

. Fill in the table.\ \\\\table[[

n=

,0,1,2,3,4,5,6,7,8,9,10,11,12],[

C[n]=

,52,26,13,40,20,10,5,16,8,4,2,7,22]]\ (c) Compute the first 10 terms of

5x+1

sequence, as described in class, with initial value 17 ,. Fill in the table.\ \\\\table[[

n=

,0,1,2,3,4,5,6,7,8,9,10],[

x[n]=

,17,86,43,216,108,54,27,141,706,353,1166]]\ Does this sequence ever reach 1 ? Circle the correct answer.\ Yes\ No

image text in transcribed
(a) Compute the Fibonacci numbers Fn for 0n12. Fill in the table. (b) Find all the terms of the Collatz (3X+1) sequence until 1 is reached, for C[0]=52 (c) Compute the first 10 terms of 5X+1 sequence, as described in class, with initial Does this sequence ever reach 1 ? Circle the correct answer. Yes

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