Series #8

The Pattern Is $\large \frac{n+2}{(n+1)^2}$ Putting $\large{n=5}$ \ which implies that $\large \frac{5+2}{(5+1)^2}$ which implies that $\large \frac{7}{36}$ So ans is $\boxed{\frac{7}{16}}$

The series was 1/2 then 3/4 then 5/8 then 7/16.As you are noticing in numerator we are adding 2 means +2 and in denominator we are mulitplying the number with 2 means x2.So next number after 7/16 would be 9/32.

+2/*2 = 9/32