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If the coefficients of x 7 & x 8 in the expansion of [2+x/3] n are equal then the value of n is???

If the coefficients of x7& x8 in the expansion of [2+x/3]n are equal then the value of n is???
 

Grade:12

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
9 years ago
\binom{N}{7} (2)7(1/3)n-7 =[\binom{N}{8}](2)8(1/3)N-8

Use this equation to solve the question for the asked value of N.A linear equation will be formed in n WHICH WILL BE VERY EASY TO SOLVE .

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