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