If the sum of first n even natural number is equal to k times the sum of first n odd natural numbers, then k =
A. $$\frac{1}{n}$$
B. $$\frac{{n - 1}}{n}$$
C. $$\frac{{n + 1}}{{2n}}$$
D. $$\frac{{n + 1}}{n}$$
Answer: Option D
Solution(By Examveda Team)
Sum of n even natural number = n(n+1)and sum of n odd natural numbers = n2
$$\eqalign{ & \therefore n\left( {n + 1} \right) = k{n^2} \cr & \Rightarrow k = \frac{{n(n + 1)}}{{{n^2}}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{{n + 1}}{n} \cr} $$
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Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.
A. 5
B. 6
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D. 3
E. 7
The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is
A. 600
B. 765
C. 640
D. 680
E. 690
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