Let K be the number of rational terms in the expansion of (\sqrt{2}+\sqrt[3]{3})^{6144}. If the coefficient of x^{ {\P}} ( {\P} \in {\N}) in the expansion of \frac{1}{(1+x) (1+x^2) (1+x^4) (1+x^8) (1+x^{16}) } is \alpha_{ {\P}}, then \alpha_{ {\K}}-\alpha_{ {\K}+1}-\alpha_{ {\K}-1}=

TG EAMCET 4 May 2025 Shift 2 Paper

Question : 20 of 160

Marks: +1, -0

Let K be the number of rational terms in the expansion of (√2+‌3√3)6144. If the coefficient of xP‌‌(P∈N) in the expansion of ‌

(1+x)(1+x2)(1+x4)(1+x8)(1+x16)

is αP, then αK−αK+1−αK−1=

Go to Question:

Prev Question

Next Question