`(a+2)^2-(a-2)^2`

Is the sequence 2, 2^(2)2^(2^(2))2^(2^(2^(2))),....... is a G.P. ?

2^(2^(2^2))-:((2^2)^2)^2=

[ 8- ((4^(9/4 ) sqrt(2.2 ^2))/( 2 sqrt( 2^(-2))))^(1/2) ] is equal to

(1)/(2)+(2)/(2^(2))+(2^(2))/(2^(3))+......+(2^(2002))/(2^(2003))+(2^(2003))/(2^(2004)) is equal to

Using the given pattern,find the missing numbers: 1^(2)+2^(2)+2^(2)=3^(2)2^(2)+3^(2)+6^(2)=7^(2)3^(2)+4^(2)+12^(2)=13^(2)4^(2)+5^(2)+()^(2)=21^(2)5^(2)+()^(2)+30^(2)=31^(2)6^(2)+7^(2)+()^(2)=()^(2)

Using the given pattern, find the missing numbers. 1^(2) + 2^(2) + 2^(2) = 3^(2) 2^(2) + 3^(2) + 6^(2) = 7^(2) 3^(2) + 4^(2) + 12^(2) = 13^(2) 4^(2) + 5^(2) + …^(2) = 21^(2) 5^(2) + ….^(2) + 30^(2) = 31^(2) 6^(2) + 7^(2) + .......^(2) = .........^(2)