Respuesta :

Answer:

157

Step-by-step explanation:

Given the sequence

7; 17; 37; 77; ___ ; 317

  • 17-7=10
  • 37-17=20
  • 77-37=40

Let the blank space=x

We notice that the difference is always multiplied by 2.

Therefore:

x-77=80

x=80+77

x=157

The number that should be in the blank space of the sequence is 157.

Now, observe the pattern in full:

  • 17-7=10
  • 37-17=20
  • 77-37=40
  • 157-77=80
  • 317-157=160

The sequence concept to solve the problem. Then the missing number of the sequence is 157.

What is a sequence?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

Given

The sequence is [tex]7, 17, 37, 77, \_\_\_\_ , 317[/tex]

We can observe that the difference is getting double That can be given as

[tex]1 7\ \ - 7 = 10\\\\37 - 17 = 20 \\\\77 - 37 = 40[/tex] and so on.

Then the fourth number will be

[tex]77 + 80 = 157[/tex]

Then the fifth number will be

[tex]157+160 = 317[/tex]

Thus, the missing number of the sequence is 157.

More about the sequence link is given below.

https://brainly.com/question/21961097

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