1.

Find numerically greatest term is the expansion of `(3-5x)^11 "when " x=1/5`

Answer» Using
`(n+1)/(1+|a/b|)-1le r le (n+1)/(1+|a/b|)`
`(11+1)/(1+|3/(-5x)|)-1le r le (11+1)/(1+|3/(-5x)|)`
solving we get `2 le r le 3 `
`therefor r= 2, 3 `
So, the greatest terms are `T_(3) = ""^C_(2).3^9 (-5x)^2=56.3 ^(9)= T_(4)`
From above we say that the value of boht greatest terms are equal .


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