" 2."{((-2)/(3))^(-2)}^(2)

Multiply the (3)/(2) p ^(2) + (2)/(3) q ^(2), (2p ^(2) - 3q ^(2))

The sum of the series 1+(1^2+2^2)/(2!)+(1^(2)+2^(2)+3^(2))/(3!)+(1^(2)+2^(2)+3^(2)+4^2)/(4!) +.. Is

(((1)/(2))*((2)/(2)))/(1^(3))+(((2)/(2))*((3)/(2)))/(1^(3)+2^(3))+(((3)/(2))*((4)/(2)))/(1^(3)+2^(3)+3^(3))+...=

1+(1+2)/(2!)+(1+2+2^(2))/(3!)+(1+2+2^(2)+2^(3))/(4!)+

1^(3) + 1^(2) + 1+2^(3) + 2^(2) + 2+3^(2) + 3^(2) + 3+3… 3n terms =

The value of |{:(2^(2),2^(3),2^(4)),(2^(3),2^(4),2^(5)),(2^(4),2^(5),2^(6)):}| is

|[1^(2),2^(2), 3^(2),4^(2)],[2^(2),3^(2),4^(2),5^(2)],[3^(2),4^(2),5^(2),6^(2)],[4^(2) ,5^(2), 6^(2) ,7^(2)]|

The value of the determinant |{:(1^(2),2^(2),3^(2),4^(2)),(2^(2),3^(2),4^(2),5^(2)),(3^(2),4^(2),5^(2),6^(2)),(4^(2),5^(2),6^(2),7^(2)):}| is