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Mathematical… | NUST Entrance Test Mathematics | ClassNotes
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NUST Entrance Test
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Mathematical Induction and Binomial Theorem
Set 6
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Mashaal Masha
Sep 29, 2022
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Choose the correct options for the following questions.
For $n\geq -2$, 1+3+5+.....+(2n+5)=
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Difficulty: Easy
A:
$(n+2)^{2}$
B:
$(n-2)^{2}$
C:
2n+1
D:
$(n+3)^{2}$
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For $n\:\epsilon\:N, 2^{n}>n$ is to only when
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Difficulty: Easy
A:
n>2
B:
n<2
C:
$n\leq 4$
D:
$n\geq 4$
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If n is any positive number, then 1/2.4+1/4.6+1/6.8+......+1/2k(2k+2)=
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Difficulty: Easy
A:
n/2n+1
B:
n/4(n+1)
C:
$\frac{n^{2}(n+1){2}}{4}$
D:
$\frac{2n^{2}+4}{4}$
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Set 5
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Mathematical Induction and Binomial Theorem - Set 1
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Mathematical Induction and Binomial Theorem - Set 2
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Mathematical Induction and Binomial Theorem - Set 3
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Mathematical Induction and Binomial Theorem - Set 4
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Mathematical Induction and Binomial Theorem - Set 5