Binomial Expansions Application with Consecutive Terms Ratio

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#binomialtheorem_application #combinatorics_IB #pascaltriangle_applications #telescopingseries #partial_fraction_method #higher_algebra #InductionMethod
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in the formula of (n-r+1)/r, r is different as we get r from nCr and nCr-1...so when will we solve question let suppose, ratio of first three term is 1:2:3 ..so which value of r will should we take whether 0 or 1 ?.please clarify this

harshittiwari