`2+2^2+2^3+...+2^9=`

The value of 1 + 2^2 + 2^3 + 2^4 + ……+ 2^9 is ______

Find the 11^(th) term of the G.P 9/2^1 , 9/2^2 , 9/2^3 .....

The value of 3/(1^2. 2^2)+5/(2^2. 3^2)+7/(3^2. 4^2)+9/(4^2. 5^2)+(11)/(5^2. 6^2)+(13)/(6^2. 7^2)+(15)/(7^2. 8^2)+(17)/(8^2. 9^2)+(19)/(9^2. 10^2) is 1/(100) (b) (99)/(100) (c) 1 (d) (101)/(100)

The nth term of the given sequence 3/ (1^ 2) ⋅ 5/ (1^ 2 + 2^ 2) ⋅ 7/ (1^ 2 + 2^ 2 + 3^ 2) ⋅ 9/ (1^ 2 + 2^ 2 + 3^ 2 + 4^ 2)

Find the sum of infinite terms of the series 3/1^2 + 5/(1^2 + 2^2) + 7/(1^2+2^2+3^2) + 9/(1^2+2^2+3^2+4^2)+...

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

The centre of the circle 2x^(2) + 2y^(2) + (3)/(2) x + 9 = 0 is . . . .

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

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