NTA Abhyas JEE Main2020MathematicsBinomial TheoremPractice

The sum of the rational terms in the expansion of 2 + 3 1 5 10 is equal to

Options

Correct answer

B. 41

Step-by-step solution

The general term is given by T r + 1 = C r 10 2 10 − r 2 3 r 5 This is rational if 10 - r is even and r is a multiple of 5 . ⇒ r = 0,10 So, the sum of the rational terms is 10 C 0 2 5 + 10 C 10 × 3 2 = 32 + 9 = 41

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