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MTH202 Discrete Mathematics Assignment no 3 idea solution Spring 2011
#11
Prove using mathematical induction (Prove only Inductive Step) that

Answer



Suppose p(k) is true for
To prove that p(k+1)is true that is


Using equation no (1)

Taking common

That is equal to the RHS of eq (2)
Hence P(k+1) is also true, therefore by mathematically induction, given equation is true for all integers n≥1.

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#12
If f is defined recursively by
and
then find f(4) ?



now we have to find f(2) and f(3) by given formula




Putting the values of f2)and f(3) in eq 1


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#13
A.O.A
Sir. . . plz. . . idea solution simple word file mai convert kar k post kar dain. q k ye file mery pc pe open nhe ho rai. . . Sad
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