Question
(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
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