Question

2/3,4/7,_,11/21,16/31​

Answer 1

Answer:

7/13

Step-by-step explanation:

Let us break this into two series : numerator and denominator.

N : 2, 4, n, 11, 16

D: 3, 7, d, 21, 31

Case 1

Let us create create arrays of difference of consecutive number of N.

ND : 2, n-4, 11-n, 5

Observing  this series one can say the difference can be 1 of consecutive number. Let us assume,

ND: 2, 3, 4 , 5

if n is same while satisfying this series than our assumption is true

n-4 =3

n = 7

11 - n = 4

n = 7

Hence, n = 7 satisfy our assumption.

Case 2

Let us create create arrays of difference of consecutive number of D.

DD : 4, d-7, 21-d, 10

Observing  this series one can say the difference can be 2 of consecutive number. Let us assume,

DD: 4, 6, 8, 10

if n is same while satisfying this series than our assumption is true

d-7 = 6

d = 13

21-d = 8

d=13

Hence, d = 13 satisfy our assumption

n = 7

d = 13

Therefore 7/13 satisfy the original array