Duration: 13:36

14 views

0

If \( a_{0}, a_{1}, a_{2}, \ldots a_{n} \) is an arithmetic progression of positive integers, then to evaluate
\( \frac{C_{0}}{a_{0}} \pm \frac{C_{1}}{a_{1}}+\frac{C_{2}}{a_{2}} \pm \cdots \) upto \( (n+1) \) terms, we integrate both the sides of
\[
\sum_{r=0}^{n} C_{r} x^{r}=(1+x)^{n}
\]
- after multiplying by \( x^{r} \) for an appropriate value of \( r \).
\( -\frac{1}{3} C_{0}+\frac{1}{4} C_{1}+\cdots \) upto \( (n+1) \) terms equal
(a) \( \frac{2^{n+1}}{n+3} \)
(b) \( \frac{2^{n+1}-2^{n}}{n+4} \)
(c) \( \frac{2^{n}}{n+2} \)
(d) none of these
\( \mathrm{P} \)
W
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live