The coefficient in x in the second term of the expansion of (x2−41)nis equal to 31. Find the power n.

Given coefficient of second term is nC1(41)=31⟹n=124

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The coefficient in x in the second term of the expansion of ,

Question

The coefficient in $x$ in the second term of the expansion of $(x^{2} - \frac{1}{4})^{n}$ is equal to $31$ . Find the power $n$ .

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Noah Discussed

The coefficient in

x

in the second term of the expansion of

(x^{2} - \frac{1}{4})^{n}

is equal to

31

. Find the power

n

8 mins ago

Discuss this question LIVE

8 mins ago

Given coefficient of second term is

^{n} C_{1} (\frac{1}{4}) = 31 ⟹ n = 124

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Question Text	The coefficient in $x$ in the second term of the expansion of $(x^{2} - \frac{1}{4})^{n}$ is equal to $31$ . Find the power $n$ .
Answer Type	Text solution:1
Upvotes	150