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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

$\begin{bmatrix}3 \\3\end{bmatrix}+\begin{bmatrix}4 \\3\end{bmatrix}+\begin{bmatrix}5 \\3\end{bmatrix}+......+\begin{bmatrix}n+2\\3 \end{bmatrix}$=

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

If n is any positive integer, then 2+4+6+....+2n=

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

For any positive integer $n,1+\frac{1}{2}+\frac{1}{4}+.....+\frac{1}{2^{n-1}}=$

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

n(n-1)(2n-1), for all natural numbers n, is divisble by

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

For each natural number n, n(n+1) is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

There is no integer n for which $3^{n}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

What is the value of the expression $\tan(\tan^{-1}\frac{1}{2})=

NETNUST Entry TestMathematicsInverse Trigonometric Functions

The exact value of radian of the function $\tan^{-1}(\sqrt{3})$ is

NETNUST Entry TestMathematicsInverse Trigonometric Functions