Q. 174.5( 4 Votes )

Mark the correct alternative in the following:

If the sum of first n even natural numbers is equal to k times the sum of first n odd natural numbers, then k =

A.

B.

C.

D.

Answer :

Let first A.P is 2,4,6…


So, a=2 and d=4-2=2


Let S1 denotes the sum of n even numbers


Now, sum of n term is given by,







Let second A.P is 1,3,5…


So, a=1 and d=3-1=2


Let S2 denotes the sum of n odd numbers


Now, sum of n term is given by,







Now, given that S1=kS2


n(n+1)=kn2


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Arithmetic progression | Understanding the basicsArithmetic progression | Understanding the basicsArithmetic progression | Understanding the basics45 mins
Quiz | Arithmetic progression | Understanding the basicsQuiz | Arithmetic progression | Understanding the basicsQuiz | Arithmetic progression | Understanding the basics37 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses