Number of middle terms in the expansion of $(a + b)^{20}$ is:

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Solution

When the power (in this case 20) is an even number, there will be only one middle term. The middle term in this case is $11^{t h}$ term.

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Find the number of middle terms in the expansion of $(a + b)^{20}$ .

Number of middle terms in the expansion of $(a + b)^{21}$ is:

Find the number of middle terms in the expansion of $(a + b)^{21}$

{(\frac{a}{x} + b x)}^{12}

(1 + x)^{2 n - 1}

^{2 n} C_{n}

(1 + x)^{2 n - 1}

n

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