Please help me I dont want to fail...again this is my last hope. plz help:(
2 answers:
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Answer:
(a)= option 3
(b)= option 3
Step-by-step explanation:
(A) It is given that a sequence is defined by the recursive function and
Now, substituting the value of n=2 in above equation,
Again putting n=3,
Putting n=4,
Putting n=5,
Putting n=6,
Putting n=7,
Hence, option 3 is correct.
(B) The given sequence is :
5, -10, 20, -40, 80.....
Since, the given sequence is GP, therefore
and r=-2
The nth term is given by:
For fifteenth term, put n=15 in above equation, we get
=
=
Hence, the fifteenth term is 81920.
Option 3 is correct.
a. The events are mutually exclusive, so
b. For the same reason,
Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:
and the right side reduces to 0.
c. Same as (b),
d. Same as (b),
We can also use the distributivity rule for unions and intersections to write
e. If the is the complement of
, then by DeMorgan's law,