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find the index n of a binomial [ x/5 + 2/5]^n if the 9th term of the expension has numerically greatest coefficient

find the index n of a binomial [ x/5 + 2/5]^n if the 9th term of the expension has numerically greatest coefficient

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Grade:11

1 Answers

Adarsh
15 Points
4 years ago
Question is (x/5+2/5)^n 
T(r-1)
T8T10
 
T9 /T8 >1
 And 
T10/T9
Solving this we get 
n>11 and n
Therefore n=12

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