The greatest term (numerically) in the expansion of (2 + 3x) 9 , when x= 3 2 , is

Mathematics · JEE Advanced · NTA ExamsBinomial Theorem And Its Simple Applications

The greatest term (numerically) in the expansion of
(2 + 3x)9, when \(x=\frac{3}{2}\), is
  1. \(\frac{5 \times 3^{11}}{2}\)
  2. \(\frac{5 \times 3^{13}}{2}\)
  3. \(\frac{7 \times 3^{13}}{2}\)
  4. none of these

Answer

(C) 7 3^ 13 2

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