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Question
Write the middle term in the expansion of \[\left( x + \frac{1}{x} \right)^{10}\]
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Solution
\[\text{ Here, n, i . e . , 10, is an even number } \]
\[ \therefore \text{ Middle term } = \left( \frac{10}{2} + 1 \right)\text{ th term = 6th term } \]
\[\text{ Thus, we have: } \]
\[ T_6 = T_{5 + 1} \]
\[ = ^{10}{}{C}_5 \left( x \right)^{10 - 5} \times \left( \frac{1}{x} \right)^5 \]
\[ = ^{10}{}{C}_5 \]
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