For the expansion

MATHEMATICS · Multi-part · CBSE · Mathematics · Binomial Theorem · Binomial Theorem

Problem

For the expansion (5+2x)12(5+2x)^{12}, carry out the tasks given below. (i) Write the general term Tr+1T_{r+1}. (ii) Determine the middle term TT and the term immediately succeeding it, denoted T′T', without simplifying their coefficients. (iii) Compute the ratio T′T\dfrac{T'}{T} and hence decide which of the two terms has the greater absolute value when x=1x=1. Justify your answer with calculations.

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