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Multinomial Expansion

Binomial theo...

Question

Binomial theorem
If $(x + a)^{n} = x^{n} +^{n} C_{1} x^{n - 1} a +^{n} C_{2} x^{n - 2} a^{2} + . . . + a^{n}$ , where n is a positive integer. (r + 1)th term is called the general term and is usually denoted by $u_{r + 1 \cdot}$
$∴ u_{r + 1} =^{n} C_{r} x^{n - r} a^{r}$ ,
Then the expansion contains (n+1) terms.

True

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False

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Solution

The correct option is A True
It is True
Since there are terms from the nth exponent of x to zeroth exponent of x and thus n+1 terms

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