If the coefficient of the middle term in the expansion of ${\left( {1 + x} \right)^{2n + 2}}$ is $p$ and the coefficients of middle term in the expansion of ${\left( {1 + x} \right)^{2n + 1}}$ are $q$ and $r$, then

JEE MATHEMATICS MCQ: BINOMIAL THEOREM

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Analyzing +4 | -1

If the coefficient of the middle term in the expansion of

{\left( {1 + x} \right)^{2n + 2}}

p

and the coefficients of middle term in the expansion of

{\left( {1 + x} \right)^{2n + 1}}

are

q

and

r

, then

View answer and explanation

Correct option: C

p = q + r

Option C (

p = q + r

) is correct because the middle term's coefficient in the expansion of

{\left( {1 + x} \right)^{2n + 2}}

is the sum of the two middle terms' coefficients in the expansion of

{\left( {1 + x} \right)^{2n + 1}}

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n