Question

find the next element in the series 1 3 24 360 8640 302400

Answer 1

Given:

The series 1 3 24 360 8640 302400

To find:

Find the next element in the series 1 3 24 360 8640 302400

Solution:

From given, we have,

The series 1 3 24 360 8640 302400

upon adding prime numbers, we get,  

(3 + 5 = 8 , 8 + 7 = 15 , 15 + 9 = 24 , 24 + 11 = 35 , ∴ 35 + 13 = 48)

1 × 3 = 3

3 × 8 = 24

24 × 15 = 360

360 × 24 = 8640

8640 × 35 = 302400

∴ 302400 × 48 = 14515200.

Therefore, the next element in the series 1 3 24 360 8640 302400 is 14515200.

Answer 2

The next element in the given series is 14515200.

Step-by-step explanation:

We are given with the following series below;

1, 3, 24, 360, 8640, 302400

To find the next element in the above series, we have to first analyze the pattern in this series.

1 $\times$ 3 = 3

3 $\times$ 8 = 24

24 $\times$ 15 = 360

360 $\times$ 24 = 8640

8640 $\times$ 35 = 302400

302400 $\times$ ? = ?

Here we can see that every time whenever the given number is multiplied by the number, it is increasing with 2 in the previous number, that is;

3 + 5 = 8

8 + 7 = 15

15 + 9 = 24

24 + 11 = 35

As we can see here that the numbers 5, 7, 9, and 11 are the numbers that are getting by adding 2 in the previous numbers.

This means that 35 + 13 = 48

302400 $\times$ 48 = 14515200

Hence, the next element in the given series is 14515200.