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The fifth term in the expansion (x^{3}-\frac{1}{2x})^{6}$ is
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
The seventh term of $(x^{3}-\frac{1}{x})^{3}$ is
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
The coefficient of the middle term of $[\frac{x}{2}-\frac{2}{x^{2}}]^{6}$ after simplification is
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
The middle term of $[1/x-x]^{10}$ is
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
The difference of an integer and its cube is divisible by
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
For all $n\:\epsilon\:N, 2^{4n}-1$ is divisible by
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
For $n\:\epsilon\:N, (n!)^{2}
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
For $n\:\epsilon\:N, n! >n^{2}$, when
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
For all positive integral values of n, $10^{n-1}\geq 81n$ if
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
For all positive integral values of n, $\frac{n^{5}}{5}+\frac{n^[3}}{3}+\frac{7n}{15}$ is a
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
For all positive integral values of n, $11^{n+2}+12^{2n+1}$ is divisble by
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
For all positive integral values of $n, x^{2n-1}+y^{2n+1}$ is divisble by
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
$1^{3}+3^{3}+5^{3}+.......+$ up to $(2n-1)^{3}$ is equal to
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
$n^{2}-1$ is divisible by x+y, then n is a
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
For all positive integral values of n, x-y is a factor of
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
$n1>2^{n}-1$ is true when
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
Multiple-choice question
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
If n is any positive integer then 1/1.3+1/3.5+1/5.7+.....+1/(2n-1)(2n+1)=
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
For $n\:\epsilon\:N, 3^{2n}+7$ is divisible by
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
If n is positive integers, then $2^{n}>2n+1$, only when
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
For $n\geq -2$, 1+3+5+.....+(2n+5)=
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
For $n\:\epsilon\:N, 2^{n}>n$ is to only when
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
If n is any positive number, then 1/2.4+1/4.6+1/6.8+......+1/2k(2k+2)=
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
If $n\:\epsilon\:N$, then n(n+3) is always
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem
For each even natural number $ n, n(n^{2}-1)$ is divisible by
NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem