Question

4,5,6,8,14,38,....... what is the next number of this sequence?

Answer 1

From 4 to 5, we add $0!=1.$ From 5 to 6, we add $1!=1.$ 6 to 8, we add $2!=2.$ 8 to 14, we add $3!=6.$ 14 to 38, we add $4!=24.$ Thus, the next term of the sequence is $38+5!=38+120=\boxed{158}.$

Answer 2

The next term of the sequence 4,5,6,8,14,38  is 158.

What is a sequence?

It is a type of series which follows a certain pattern. It can be a pattern of addition, subtraction, multiplication and division.

How to form a sequence?

We have been given the following sequence:

4,5,6,8,14,38,..... and we have to find the next term of the sequence.

We can observe that from 4 to 5 we add 0!=1

From 5 to 6 we add 1!=1

From  6 to 8 we add 2!=2

From 8 to 14 we add 3!=6

From 14 to 38 we add 4!=24.

So in next term we have to add 5!=120

Hence the next term will be=38+120=158.

Learn more about sequence at https://brainly.com/question/6561461

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