What is the Value of n in a Binomial Theorem Problem?

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SUMMARY

The value of n in the binomial expansion of (6x^7 + 5x^(-4))^n is determined by the relationship between the coefficients of the 10th and 11th terms. Specifically, the coefficient of the 11th term is six times that of the 10th term. The correct calculation involves identifying the coefficients accurately, which can be derived using the binomial theorem. The coefficients can be calculated using the formula for binomial coefficients, leading to the conclusion that n must equal 81.

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SclayP
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1.Find n, if the term 11 coefficient it is 6 time the term 10 coefficient in
2.(6x^7 + 5x^(-4))^n
3
 

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I am not sure what term 11 and 10 are (counted from what?), but you should not have all those powers of x in your calculation. The coefficient is the value in front of xwhatever.
 
81 looks right to me.
 

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