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 Apr7 awarded Popular Question Mar3 comment How would I put these recurrence relation terms into a summation? Oh I see... this would only work if the numerator was $1$ because $1$ raised to any power is $1$. If the numerator wasn't a $1$, I wouldn't be able to do this trick right? Mar3 comment How would I put these recurrence relation terms into a summation? I'm a little confused on how you got $(1/2)^{i}$ from $2^{-i}$. I thought this was only true if the numerator was also raised to the same power? Mar3 comment How would I put these recurrence relation terms into a summation? @GerryMyerson I have edited the question with what I have tried and what I am getting stuck on. Mar3 revised How would I put these recurrence relation terms into a summation? added more work Mar3 comment How would I put these recurrence relation terms into a summation? Yes, I know that trick but it didn't help me in this case. I'm not sure if I set up the summation correctly. It seems to make sense but I have no idea how to sum it up because it isn't in a form with a known formula. Mar3 reviewed Approve How would I put these recurrence relation terms into a summation? Mar3 asked How would I put these recurrence relation terms into a summation? Mar3 accepted Is there a formula for the summation of this form? Mar3 comment Is there a formula for the summation of this form? I didn't even think about simplifying the expression... Thank you for the help! Mar3 asked Is there a formula for the summation of this form? Dec18 awarded Popular Question Dec13 awarded Popular Question Oct31 awarded Nice Question Oct19 accepted Finding the probability using probability distributions. Oct16 accepted Applying the Negative Binomial Distribution to problems. Oct16 comment Applying the Negative Binomial Distribution to problems. I'm not sure why this problem would be in the negative binomial distribution section. What do you mean by similar reasoning? Oct16 comment Applying the Negative Binomial Distribution to problems. Well the problem was in the negative binomial distribution section so I was trying to apply that to the problem. I am able to do this without using $nb$ though. I am just curious. Oct16 asked Applying the Negative Binomial Distribution to problems. Oct9 awarded Notable Question