Choose the statement which is correct for all \( n \in N \).
\( \ma... VIDEO
Choose the statement which is correct for all \( n \in N \).
\( \mathrm{P} \)
(1) \( 2^{n}2 n+1 \)
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(2) \( x^{n}-y^{n} \) is divisible by \( (x+y) \)
(3) \( x^{n}-y^{n} \) is divisible by \( (x-y) \)
(4) \( 1+\frac{1}{4}+\frac{1}{9}+\frac{1}{16}+\ldots+\frac{1}{n^{2}}2-\frac{1}{n} \)
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