x={1,(1)/(4),(1)/(9)*(1)/(16)*(1)/(25)*cdots*rho

2.4^((-1)/(4))*8^((1)/(9))*16^((-1)/(16))*32^((1)/(25))*64^((-1)/(36))*……….oo=

2.4^((-1)/(4))*8^((1)/(9))*16^((-1)/(16))*32^((1)/(25))*64^((-1)/(36))*……….oo=

Find the sum of the infinite series (1)/(9) + (1)/(18) +(1)/(30) +(1)/(45)+(1)/(63)+cdots.

(1)/(2)+(1)/(4)+(1)/(8)+(1)/(16)+....=x,(1)/(3)+(1)/(9)+(1)/(21)+(1)/(81)+...=y then 2x+4y=

Prove that 1+(1)/(4)+(1)/(9)+(1)/(16)+....+(1)/(n^(2)) 2,n in N

Write the set X= {1,1/4,1/9,(1)/(16),(1)/(25),…} in the set-builder form.

If S=1+(1)/(4)+(1)/(9)+(1)/(16)+..., then 1+(1)/(9)+(1)/(25)+(1)/(49).... equals (A) (S)/(2) (B) (3S)/(4) (C) S-(1)/(4)( D) S-(1)/(2)

(1)/(2) + (1)/(4) + (1)/(8) + (1)/(16) + ….. = x , (1)/(3) + (1)/(9) + (1)/(27) + (1)/(81) + … = y, then

((9)/(4))^((1)/(4))xx((125)/(27))^((1)/(6))-:((625)/(16))^((1)/(8))=1

The equation of the ellipse having a vertex at (6,1) a focus at (4,1) and the eccentricity (3)/(5) is 1) ((x-1)^(2))/(16)+((y-1)^(2))/(25)=1 (2) ((x-1)^(2))/(25)+((y-1)^(2))/(16)=1 3) ((x+1)^(2))/(25)+((y+1)^(2))/(16)=1 (4) ((x+1)^(2))/(16)+((y+1)^(2))/(25)=1