If the `4^(th)` term in the expansion of `( 2 + 3x/8)^10` has the maximum value, then the values of x for which this will be true is :

Explanation

`T_4` in `(2+(3x)/8)^10 = C(10,3)(2^7)((3x)/8)^3`

`T_3` in `(2+(3x)/8)^10 = C(10,2)(2^8)((3x)/8)^2`

`T_5` in `(2+(3x)/8)^10 = C(10,4)(2^6)((3x)/8)^4`

Now, we are given `T_4` has the maximum value.

So,`T_4 gt t_3`

`=> C(10,3)(2^7)((3x)/8)^3 gt C(10,2)(2^8)((3x)/8)^2`

`=>C(10,3)((3x)/8) gt C(10,2)(2)`

`=>(10**9**8)/(3**2**1)((3x)/8) gt (10**9)/(2**1)(2)`

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