Question

find the next number in following series 24,48,52156,162​

Answer 1

Answer:-

Next number will be 648 (According to my observations)

Step-by-step Explanation:-

This is a bit complex and confusing sequence, so let's pay a closer attention.......Here we go

The Sequence is 24, 48, 52, 156, 162,....

Now, let's take the first and second term 24 and 48

We can find mainly 2 patterns

They are:-

1) 24 × 2 = 48

2) 48 - 24 = 24

This just says that the 2nd term is the double of the 1st term

Next 2nd and 3rd term, 48 and 52

1 main pattern is,

They have a difference of 4

Next 3rd and 4th terms, 52 and 156

There is again 2 main patterns,

1) 156 - 52 = 104

2) 52 × 3 = 156

Next 5th and 6th term

1 pattern

162 - 156 = 6

Now, the key to the solution of this problem is attention and concentration

Let's say the sequence is a1, a2, a3, a4, a5,......

where,

a1 = 24

a2 = 48

a3 = 52

a4 = 156

a5 = 162

Now,

If you Observe closely,

This sequence follows a pattern like this,

a1,

a2 = 2 × a1

a3 = a2 + (2×2)

a4 = 3 × a3

a5 = a4 + (3×2)

This could be a bit hard to understand so I will explain briefly,

24, 48, 52, 156, 162,.....

Here,

2nd term is double the 1st term, 24 × 2 = 48

Now, we have multiplied by 2, so next we must add the doubled value of 2

48 + (2 × 2) = 48 + 4 = 52

Next we must, multiply it by 3,

52 × 3 = 156,

Next we must, add the doubled value of 3

156 + (3 × 2) = 162

Now we can just continue the sequence,

Now we must multiply it by 4

Next term will be 162 × 4 = 648

Next we must addthe doubled value of 4

648 + (4 × 2) = 648 + 8 = 656

and so on

So, the sequence will be 24, 48, 52, 156, 162, 648, 656, 3280, 3290,....... and so on

Thus, the next number might be 648.

This might be just one answer to this sequence,

I have shared what we together have observed, others would have found a different solution, so please do refer to your teachers and confirm it.......

Hope it helped and you understood it........All the best