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Recent questions tagged positive-integral-index

$^nC_0.^nC_1$ + $^nC_1.^nC_2$ + $....^nC_{n-1}.^nC_n$ = ?

asked Oct 27, 2013 by rvidyagovindarajan_1

1 answer

If $(1+\sqrt 2)^n=x_n+y_n\sqrt 2$, where $x_n,y_n$ are integers, then

asked Oct 23, 2013 by rvidyagovindarajan_1

1 answer

The sum of the coefficients of integral powers of $x$ in the expansion of $(1+\sqrt x)^{40}$ is

asked Oct 22, 2013 by rvidyagovindarajan_1

1 answer

The number of dissimilar terms in the expansion of $(x_1+x_2+.....x_n)^3$ is ?

asked Oct 22, 2013 by rvidyagovindarajan_1

1 answer

The sum of last $30$ coefficients in the expansion of $(1+x)^{59}$ when expanded in ascending power of $x$ is ?

asked Oct 19, 2013 by rvidyagovindarajan_1

1 answer

$(1+x)^n-nx-1$ is divisible by ?

asked Oct 16, 2013 by rvidyagovindarajan_1

1 answer

Sum of $(n+1)$ terms of the series $\large\frac{^nC_0}{2}$ - $\frac{^nC_1}{3}$ + $\frac{^nC_2}{4}$ - ...... = ?

asked Oct 16, 2013 by rvidyagovindarajan_1

1 answer

If $n\in N$, then the value of $\displaystyle\sum_{r=0} ^{n} (-1)^r \large\frac{^nC_r}{^{r+2}C_r}$ is

asked Oct 15, 2013 by rvidyagovindarajan_1

1 answer

The expression $P(x)$ = $\big(\sqrt {x^5-1}+x\big)^7$ - $\big(\sqrt {x^5-1}-x\big)^7$ is a polynomial of what degree?

asked Oct 15, 2013 by rvidyagovindarajan_1

1 answer

The digit at unit place in the number $17^{1995}+11^{1995}-7^{1995}$ is ?

asked Oct 14, 2013 by rvidyagovindarajan_1

1 answer

If $P_n$ denotes the product of binomial coeff. in the expansion of $(1+x)^n$, then $\large\frac{P_{n+1}}{P_n}$=?

asked Oct 14, 2013 by rvidyagovindarajan_1

1 answer

$^nC_0^2$ + $^nC_1^2$ + $^nC_2^2$ + ...... + $^nC_n^2$ = ?

asked Oct 14, 2013 by rvidyagovindarajan_1

1 answer

The value of $^nC_0-^nC_1$ + $^nC_2-......$ + $(-1)^n$ $^n C_n$ = ?

asked Oct 12, 2013 by rvidyagovindarajan_1

1 answer

The number of integral terms in the expansion of $(5^{\large\frac{1}{2}}$$+7^{\large\frac{1}{8}}$$)^{1024}$ is ?

asked Oct 5, 2013 by rvidyagovindarajan_1

1 answer

$^nC_0$ - $\large\frac{^nC_1}{2}$ + $\frac{^nC_2}{3}$ - ...... = ?

asked Sep 26, 2013 by rvidyagovindarajan_1

1 answer

$^nC_1$ + $2.^nC_2$ + $3.^nC_3$ + ..... + $n.^nC_n$ = ?

asked Sep 24, 2013 by rvidyagovindarajan_1

1 answer

The sum of coefficients of odd powers of $x$ in the expansion $(1+x)^{50}$ is ?

asked Sep 24, 2013 by rvidyagovindarajan_1

1 answer

The no. of terms in the expansion $(x+y+z)^{10}$ is ?

asked Sep 24, 2013 by rvidyagovindarajan_1

1 answer

The total no. of terms in the expansion $(x+y)^{100}+(x-y)^{100} $ is ?

asked Sep 15, 2013 by rvidyagovindarajan_1

2 answers

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