Question: If the $\frac{3^{n} - 1}{2}$ term in the expansion of $(x + 2y + 3z)^{8}$ has the same power of ...

Question

If the $\frac{3^{n} - 1}{2}$ term in the expansion of $(x + 2y + 3z)^{8}$ has the same power of a and b, then the value of r is.

Answer 1

We have $\left. \ \times 11^{3} + .... +^{2n + 1}C_{2n + 1}11^{2n + 1} \right\}$

$= 2\left\{ 2n + 1C_{1}(125)^{n}.11 +^{2n + 1} \right.\ C_{3}(125)^{n - 1}11^{3} + ..$

Since the powers of a and b are the same, therefore

$f^{'} = (5\sqrt{5} - 11)^{2n + 1}$

Question: If the \(\frac{3^{n} - 1}{2}\) term in the expansion of \((x + 2y + 3z)^{8}\) has the same power of ...