Find the value of \( \mathrm{k} \), if the sum of first \( \mathrm{n} \) even natural numbers is...

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Find the value of \( \mathrm{k} \), if the sum of first \( \mathrm{n} \) even natural numbers is equal to \( \mathrm{k} \) times the sum of first \( \mathrm{n} \) odd natural numbers.
a. \( \frac{1}{\mathrm{n}}+1 \)
b. \( \frac{\mathrm{n}^{2}+1}{\mathrm{n}} \)
c. \( \frac{\mathrm{n}+1}{2 \mathrm{n}} \)
d. \( \frac{\mathrm{n}+1}{\mathrm{n}} \)
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