Mark the correct alternative in the following: If, is the sum of an arithmetic progression of ‘n’ odd number of terms and the sum of the terms of the series in odd places, then

Question

Philoid · Accepted Answer

Here, First A.P is 1,3,5…

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

Now, sum of n term is given by,

Now, second A.P. is 1,5,9,…

In this A.P. a=1, d=5-1=4

Let us assume that total no. of term in first A.P. is even then total no. of term in second A.P. is

Now,

)

Then

Let us assume that total no. of term in first A.P. is odd then total no. of term in second A.P. is

Now,

)

Then

Mark the correct alternative in the following:If, is the sum of an arithmetic progression of ‘n’ odd number of terms and the sum of the terms of the series in odd places, then

Mark the correct alternative in the following:
If, is the sum of an arithmetic progression of ‘n’ odd number of terms and the sum of the terms of the series in odd places, then