In the expansion of ( 2 + 3 x ) n , coefficient of x 7 and x 8 are equal. Then the value of n is

n C 7 3 7 2 n − 7 = n C 8 3 8 2 n − 8 , n = 55 .

Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremSpecific TermsMedium2 minQB

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In the expansion of $(2 + \frac{x}{3})^{n}$ , coefficient of $x^{7}$ and $x^{8}$ are equal. Then the value of n is

Answer:

Solution:

$^{n} C_{7} \frac{2 ^{n - 7}}{3 ^{7}} =^{n} C_{8} \frac{2 ^{n - 8}}{3 ^{8}}, n = 55$ .

Stream:JEESubject:MathematicsTopic:Binomial TheoremSubtopic:Specific Terms

⏱ 2mℹ️ Source: QB

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