If \( n \) is an odd integer greater than or equal to 1 , the value... VIDEO
If \( n \) is an odd integer greater than or equal to 1 , the value of \( n^{3}-(n-1)^{3}+(n-2)^{3}-\ldots+(-1)^{n-1} 1^{3} \) is
\( \mathrm{P} \)
W
(a) \( \frac{(n+1)^{2}(2 n-1)}{4} \)
(b) \( \frac{(n-1)^{2}(2 n-1)}{4} \)
(c) \( \frac{(n+1)^{2}(2 n+1)}{4} \)
(d) None of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-03-21 Let \( \left(a_{1}, b_{1}\right) \) and \( \left(a_{2}, b_{2}\right... 2023-03-21 If \( n \) is a positive integer satisfying the equation
\( \mathrm... 2023-03-21 If one root of \( A x^{3}+B x^{2}+C x+D=0, A \neq 0 \), is the arit... 2023-03-21 The sequence \( a_{1}, a_{2}, a_{3}, \ldots \) is a geometric seque... 2023-03-21 A. 3-digit palindrome is a 3-digit number (not starting with zero) ... 2023-03-21 If the arithmetic progression whose common difference is non-zero, ... 2023-03-21 If the coefficient of \( x \) in the expansion of \( \prod_{r=1}^{1... 2023-03-21 Let \( a, b, c, d \) be positive real numbers with \( abcd \). Give... 2023-03-21 If \( a(n)=1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\ldots+\frac{1}{2^... 2023-03-21 If \( S \) is a set of \( P(x) \) is polynomial of degree \( \leq 2... 2023-03-21 If \( n \) is an odd integer greater than or equal to 1 , the value... 2023-03-21 \( a b, c \) are three positive numbers and \( a b c^{2} \) has the... 2023-03-21 Let \( S_{n}(1 \leq n \leq 9) \) denotes the sum of \( n \) terms o... 2023-03-21 If \( x+y+z=a \) and the minimum value of \( \frac{a}{x}+\frac{a}{y... 2023-03-21 Suppose the cubic \( x^{3}-p x+q=0 \) has three distinct real roots... 2023-03-21 Let \( a, b, c, p, q \) be real numbers. Suppose \( \alpha, \beta \... 2023-03-21 How many real solutions does the equation
\( \mathrm{P} \) \( x^{7}... 2023-03-21 I \( f \alpha, \beta, \gamma, \delta \) are the roots of the equati... 2023-03-21 If \( A_{1}, A_{2}, A_{3}, \ldots, A_{n}, a_{1}, a_{2}, a_{3}, \ldo... 2023-03-21 If \( \alpha, \beta \) are the roots of \( a x^{2}+b x+c=0 \) and \... 2023-03-21 If \( ? x^{3}+a x^{2}+b x+4=0(a \) and b are positive real numbers)...