Question Text
Question 1 :
If the coefficient of rth, (r + 1)th and (r + 2) th terms in the binomial expansion of (1 + y)<sup>m</sup> are in AP, then m and r satisfy the equation
Question 3 :
$\ ^{47}C_{4} + \sum_{r = 1}^{5}\text{\ \ }\ ^{52 - r}C_{3}$ is equal to
Question 4 :
Coefficient of x<sup>n</sup> in the expansion of $\frac{\left( 1 + x \right)^{n}}{1 - x}$
Question 5 :
The approximate value of ${(7.995)}^{\frac{1}{3}}$ correct to four decimal places is
Question 6 :
If T<sub>0</sub>, T<sub>1</sub>, T<sub>2</sub>, …, T<sub>n</sub> represent the term in the expansion of (x+a)<sup>n</sup>, then the value of (T<sub>0</sub>−T<sub>2</sub>+T<sub>4</sub>−T<sub>6</sub>…)<sup>2</sup> + (T<sub>1</sub>−T<sub>3</sub>+T<sub>5</sub>+…)<sup>2</sup>, is
Question 7 :
The coefficient of x<sup>7</sup> in the expansion of (x−2 x<sup>2</sup>)<sup> − 3</sup>, is
Question 8 :
<br/>$\text{If\ }x^{2r}\ \text{occurs\ in\ }\left( x + \frac{2}{x^{2}} \right)^{n},\ \text{then\ }n - 2r\ \text{must\ be\ of\ the\ form}$<br/>
Question 9 :
If n ∈ N, then the sum of the coefficients in the expansion of the binomial (5 x−4 y)<sup>n</sup>, is
Question 10 :
The greatest coefficient in the expansion of (1 + x)<sup>2n</sup> is
