A) 2
B) 4
C) 5
D) 7
Correct Answer: A
Solution :
\[{{(1+{{x}^{2}})}^{2}}\,\,{{(1+x)}^{n}}=(1+2{{x}^{2}}+{{x}^{4}})\,\,{{(}^{n}}{{C}_{0}}{{+}^{n}}{{C}_{1}}x+\]\[^{n}{{C}_{2}}{{x}^{2}}+.....)\]\[{{=}^{n}}{{C}_{0}}{{+}^{n}}{{C}_{1}}x+{{(}^{n}}{{C}_{2}}+2{{\cdot }^{n}}{{C}_{0}})\,{{x}^{2}}+.....\] |
Hence \[{{A}_{0}}=1\,\,;~\,\,{{A}_{1}}={}^{n}{{C}_{1}}\,\,;\,\,{{A}_{2}}={}^{n}{{C}_{2}}\,+2\] which are in A. P. |
You need to login to perform this action.
You will be redirected in
3 sec