Respuesta :

Answer:

109

Step-by-step explanation:

Given that there is a sequence of numbers as

4,11,25,53,...

We have to find the next number.

To find the next number, let us see the pattern from the given four numbers

We have

I number = 4

II number = 4+7

III number = II number + 2(7)

Iv number = III number +4(7)

So if we guess this pattern continues the next number namely v number would be

V number = IV number +8(7)

=53+56

109

i.e. I number is added by 7, II number by 2(7), III number by 2^2(7)

hence next number 2^3(7)

Answer is 109

yersanabria

The next number in the sequence is:

  • 109

Obtaining the sequence

As can be seen, the first number is a selected number, which in this case is four, to which seven are added to obtain:

  • 4 + 7 = 11

Then double 7 is added to that number, that is 14, with which you get:

  • 11 + 14 = 25

  • The double of 14 is added to that number, which is 28, so the next number is:

  • 25 + 28 = 53

And to get the next number, double 28 must be added, which is 56, therefore:

  • 53 + 56 = 109

By this reason, the next number in the sequence is 109.

If you want to learn more about Sequences, you can visit the following link: https://brainly.com/question/16130064