In a GP, if the fourth terms is the square of the second term, then the relation between the first term and common ratio is ____.
A. `a =r`
B. `a = 2r`
C. `2a = r`
D. `r^(2) = a`
A. `a =r`
B. `a = 2r`
C. `2a = r`
D. `r^(2) = a`
Correct Answer – A
`t_4 = t_2^(2)`
`rArr ar^(3) = (ar)^(2) rArr ar^(3) = a^(2)r^(2) rArr r =a`.