Given that GP consist of even number of terms.

Let number of terms in GP= 2n

Let the GP is: a ,ar² ,ar³ ,ar⁴ ,...........ar^2n-1 where r is common ratio and a is the first term.

Given that

                  Sum of all terms = 5 * sum of the term occupy at odd place

             => a + ar + ar² +...........+ ar^2n-1 = 5*(a + ar² + ar⁴ +........+ ar^2n-2 ) 

             => a*(1 + r + r² +.......+ r^2n-1 ) = 5*a*( 1 + r² + r⁴ +.......+r^2n-2 )

             => a* {( r²ⁿ -1)/(r-1)} = 5*a* {( (r² )ⁿ -1)/ (r² -1)}

             => a* {( r²ⁿ -1)/(r-1)} = 5*a* {( (r²ⁿ -1)/(r -1)*(r+1)}

             => 1 = 5/(r+1)

             => r+1 = 5

             => r = 5-1

             => r = 4

So the common ratio is 4