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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 3
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Mashaal Masha
Sep 29, 2022
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Choose the correct options for the following questions.
The 7th term of $(3^{8}+6^{4}x)^\frac{11}{4}$ is
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Difficulty: Easy
A:
$-\frac{19217}{3}x^{6}$
B:
$\frac{189}{2}6x^{4}$
C:
$\frac{2227}{12}x^{3}$
D:
$-\frac{19712}{3}x^{6}$
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The 5th term of $(3a-2b)^{-1}$ is
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Difficulty: Easy
A:
$\frac{77b^{4}}{a^{5}}$
B:
$\frac{16b^{4}}{243a^{5}}$
C:
$\frac{17b^{4}}{43a^{5}}$
D:
$\frac{25b^{3}}{43a^{5}}$
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The coefficient of the third term of $(8a-b)^{\frac{1}{3}}$, after simplification is
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Difficulty: Easy
A:
-228
B:
$-\frac{1}{288}$
C:
$-\frac{1}{220}$
D:
$-\frac{1}{177}$
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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 4
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Mathematical Induction and Binomial Theorem - Set 5
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Mathematical Induction and Binomial Theorem - Set 6