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Question: The middle term in the expansion of \(|x| < \frac{5}{4}\) is....

The middle term in the expansion of ∣x∣<54|x| < \frac{5}{4} is.

A

(5+1)5−(5−1)5(\sqrt{5} + 1)^{5} - (\sqrt{5} - 1)^{5}

B

1+(1+x)+1 + (1 + x) +

C

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

D

xkx^{k}

Answer

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

Explanation

Solution

Middle term

= 16027\frac{160}{27}= 803\frac{80}{3}.