[2+2^(2)+2^(3)+......+2^(9)=?],[([" A) "1056," B) "2044]]

Find sum of first 15 term of series 1+6+(9(1^2+2^2+3^2))/7+(12(1^2+2^2+3^2+4^2))/9+...... (1) 7620 (2) 7280 (3) 7820 (4) 7067

2^(10)+2^(9) .3^1+.....2.3^9+3^(10)=A-2^(11) . Find A=

If 2^(10) + 2^(9) * 3^(1) + 2 ^(8) * 3^(2) + …. + 2 * 3^(9) + 3^(10) = S - 2^(11) , then S is equal to :

if x=(2^(-2) - 2^(-3)) ,y=(2^(-3) - 2^(-4)) ,z=(2^(-4) - 2^(-2)) then the value of x^3 + y^3 + z^3 = 0 1 -9/2048 -9/1024

Let S_(n) be the sum to n terms of the series (2)/(1 ^(2)) + (5)/(1 ^(2) + 2^(2)) + (7)/(1^(2) + 2^(2) + 3^(2)) + (9)/(1 ^(2) + 2^(2) + 3 ^(2) + 6 ^(2))+ ……. then

Find sum of first 15 term of series 1+6+(9(1^(2)+2^(2)+3^(2)))/(7)+(12(1^(2)+2^(2)+3^(2)+4^(2)))/(9) (1) 7620 (2) 7280 (3) 7820 (4) 7067

?^(2)=3^(2)+9^(2)-54

Analyze the roots of the following equations: (i) 2x^(3) - 9x^(2) + 12x - (9//2) = 0 (ii) 2x^(3) - 9x^(2) + 12x - 3 = 0