# Write the Middle Term in the Expansion of ( X + 1 X ) 10 - Mathematics

Write the middle term in the expansion of  $\left( x + \frac{1}{x} \right)^{10}$

#### 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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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 18 Binomial Theorem
Q 8 | Page 45