`1+3x+6x^2+10 x^3+ .oo ,` where `(x=1/3)` is

The coefficient of x^24 in (1+3x+6x^2 + 10x^3 + ……oo)^(2//3) is

The coefficient of x^24 in (1+3x+6x^2 + 10x^3 + ……oo)^(2//3) is

find sum of 1+3x+6x^(2)+10x^(3)+15x^(4)+-1-1-1-oo where |x|<1,x!=0

If x = 1 + 3a + 6a^2 + 10 a^3 + ……" to " oo terms |a| lt 1, y = 1+4a+10a^2 + 20a^3 + ….." to " oo terms, |a| lt 1 , then x:y

If x = 1 + 3a + 6a^2 + 10 a^3 + ……" to " oo terms |a| lt 1, y = 1+4a+10a^2 + 20a^3 + ….." to " oo terms, |a| lt 1 , then x:y

The sum of the sereis 1+2^2x+3^2x^2+4^2x^3+…..oo where -1ltxlt1= (A) (1+x)/((1-x))^3 (B) x/((1+x)^3) (C) (1-x^2)/((1+x)^3) (D) none of these

The sum of the sereis 1+2^2x+3^2x^2+4^2x^3+…..oo where -1ltxlt1= (A) (1+x)/((1-x))^3 (B) x/((1+x)^3) (C) (1-x^2)/((1+x)^3) (D) none of these

If 1+ 2x + 3x^(2) + 4x^(3) + …oo= (9)/(4) (|x| lt 1) then x=

Find the coefficient of x^6 in (1+ x + x^2 + x^3+…….oo)(1+x^2 +x^4 + x^6 + ……oo)