Find the limits between which x must lie in order that the greatest term in the expansion of `(1+x)^30` may have the greatest coefficient.

The interval in which x must lie so that the greatst term in the expansion of (1 +x)^(2n) has the greatest coefficient,is

If x=1/3, find the greatest tem in the expansion of (1+4x)^(8)

The interval in which x must lie so that the numerically greatest term in the expansion of (1 - x)^(21) has the numerically greatest coefficient, is

If n is an even positive integer,then find the value of x if the greatest term in the expansion of (1+x)^(n) may have the greatest coefficient also.

If n is an even positive integer greater than 1 and x gt0 , then the condition that the greatest term in the expansion of (1+x)^(n) may have the greatest coefficient also is

Find the greatest term in the expansion of (a+x)^13, when a =5, x=2

In a binomial expansion (x_y)^n gretest term means numericaly greatest term and therefore greatest term in (x-y)^n and (x+y)^n are ame. I frth therm t_r be the greatest term in the expansion of (x+y)^n whose therms are all ositive, then t_rget_(r+1) and t_rget_=(r-1)i.e. t_r/t_mge1 and t_r/t_(r-)ge1 On the basis of above information answer the following question:The set al values of x for which thegreatest term in teh expnsionof (1+x)^30 may have the greatest coefficient is (A) (14/15, 15/14) (B) [15/16,16/15] (C) (15/16,16/15) (D) none of these

Find the greatest term in the expansion of (x+y)^18 when x=2, y=1 .

The greatest term in the expansion of (3 + 5x)^(15) , when x=1/5, is

Numerically the greatest term in the expansion of (2-3x)^(7) when x=1 is