Q::1 Consider a sequence defined as:
for n ≥ 2
Then what shall be the set of values of the sequence ?
(1) (1, 110, 1200) (2) (1, 110, 600, 1200)
(3) (1, 2, 55, 110, 600, 1200) (4) (1, 55, 110, 600, 1200)
Answer:: (1)
Explanation::
The sequence can be estimated by recursive solutions let us calculate the resul produce by F00(5)
F00(5) = (10*F00(4)+100)/F00(3)
Now, calculate F00(4)
F00(4) = (10*F00(3)+100)/F00(2)
F00(3) = (10*F00(2)+100)/F00(1)
F00(2) = (10*F00(1)+100)/F00(0)
Now substituting values of F00(0) = 1, F00(1) = 1
We get ,
F00(2) = (10*1+100)/1 = 110
Substituting F00(1)=1, F00(2)=110
We get,
F00(3) = (10*110+100)/1 = 1200
Substituting F00(2)=110, F00(3)=1200
We get,
F00(4) = (10*1200+100)/110 = 110
Substituting F00(3)=1200, F00(4)=110
We get,
F00(5) = (10*110+100)/1200 = 1
So the sequence is like F00(0) = 1, F00(1) = 1, F00(2) = 110, F00(3) = 1200,
F00(4) = 110, F00(5) = 1 and So on...(1,1,110,1200,110,1,1...)
So option A includes 1,110,1200 So it is correct.
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