Question

2,7,11,21,35,__"what is next number

Answer 1

Answer:

5 11 21 35 53 75

My answer is 75

When we look at the series of numbers, we see that the differences are:

6. 10 14 18

whwn we break it down further we find increasing differences of

3 x 2; 5 x 2; 7 x 2; 9 x 2

so the next number must be 11 x 2 (22) added to 53

53 + 22 = 75

Answer 2

Step-by-step explanation:

Given: Series 2,7,11,21,35, __ is given.

To find: 'x'

For calculation of the next number,

We know that the series is $2,7,11,21,35$

If we look at the patter then, the difference between the numbers is,

⇒ $11-7=6$

⇒ $21-11=10$

⇒ $35-21=14$

This means that the pattern is that difference between two numbers is increasing by 4,

Thus, the difference between $x$ and $35$ equals

⇒ $14+4=18$

Thus,

⇒ $x-35=18$

⇒$x=18+34$

⇒ $x=52$

The next number is $52.$