What is the formula for an infinite geometric series when the common ratio changes by a fixed amount?

56 Views Asked by At

So I looked at this question and thought, "Hmm, I might be able to use the infinite geometric series formula." Then, I realised that the common ratio would involve the counting variable, which I don't think is allowed. Then I thought, "There must be a formula for when the ratio changes by a fixed amount each time." So is there a formula for this? Does this involve harmonic means?