Question

Show the progression 2,2 root 2 ,4 , 4 root 2 ,.... Is a G.P find its nth term and 11th term .

Answer 1

a=2

r=√2

$sn = a(1 - {r}^{n}) \div( 1 - r)$for n

term the sum of Gp is

$= 2(1 - { \sqrt{2} }^{n} ) \div (1 - \sqrt{2} )$