What is the missing term in the given series?

​$$5,5,\frac{15}{4},\frac{5}{2},\frac{25}{16},...,\frac{35}{64},\frac{5}{16}$$​​​​

Correct option is C

Given: $$5,5,\frac{15}{4},\frac{5}{2},\frac{25}{16},...,\frac{35}{64},\frac{5}{16}$$​

Logic: Multiply by 1/1, 2/3, 3/5, 4/7, ...

5 × 1/1 = 5

5 × 2/3= 5/2

25/16 × 3/5 = 15/16  (this is the missing number)

35/64 × 4/7 = 5/16

Thus, correct option is (c).