Question

Find the next number 2,3,28,15,126,35

Answer 1

Answer:

Step-by-step explanation:

your answer is 344

Answer 2

Given :

A series 2, 3, 28, 15, 126, 35 .

To Find :

The next number in series .

Solution :

Before we proceed to solution , here is some thing you need to know , their is not a fixed pattern in all such question . All these comes with practice and experience .

Now , by noticing the the series we can say that n th term is given by :

$T=n^3+1$ , when n is odd .

$T=n^2-1$ , when n is even .

1³  + 1  = 2

2²  - 1  = 3

3³ + 1 = 28

4² - 1 = 15

5³ + 1 = 126

6² - 1 = 35

We need to find 7 th term .

Since , 7 is an odd number :

$T=7^3+1\\T=344$

Therefore, the next number in series is 344 .