Question

Find the next number in the series ? 2,4,12,60,420,?​

Answer 1

Answer:

4620

Step-by-step explanation:

2×2 =4

4×3=12

12×5=60

60×7= 420

next prime number after 7 is 11

420×11= 4620

Answer 2

The next number in the series: 2,4,12,60,420,... is equal to 4620.

Step-by-step Explanation

Given:

A series: 2,4,12,60,420,..

To be found:

To find the next number in the given series.

Solution:

We have the series: 2,4,12,60,420,..

Now, observing the series, we can find that

• $2 \times 2=4$
• $4 \times 3=12$
• $12 \times5=60$
• $60 \times7=420$

From these, we get a pattern of $(\times2,\times3,\times5,\times7,\times11,...)$ from the succeeding numbers in the given series.

We know that the numbers, 2,3,5,7,11,13,... are prime numbers.

Also, we find that the given series follow the pattern by getting multiplied by prime numbers.

So, the next number in the series is given by,

$420 \times 11=4620$

Hence, the complete series is 2,4,12,60,420,4620,...

Therefore, the next number in the given series is 4620.

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