Mark the correct alternative in the following: In n arithmetic means are inserted between 1 and 31 such that the ratio of the first mean and nth mean is 3 : 29, then the value of n is

Question

Philoid · Accepted Answer

Let a=1;b=31

Let a₁,a₂,a₃,…a_n be the n A.M’s between 1 and 31

Then, common difference is given by

Now,

And

Now, given that

Mark the correct alternative in the following:In n arithmetic means are inserted between 1 and 31 such that the ratio of the first mean and nth mean is 3 : 29, then the value of n is

Mark the correct alternative in the following:
In n arithmetic means are inserted between 1 and 31 such that the ratio of the first mean and nth mean is 3 : 29, then the value of n is