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 =

Question

Philoid · Accepted 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

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 =

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 =