Question

What number should be in the blank in the sequence? 7; 17; 37; 77; ___ ; 317

Answer 1

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

Answer 2

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 $7, 17, 37, 77, \_\_\_\_ , 317$

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

$1 7\ \ - 7 = 10\\\\37 - 17 = 20 \\\\77 - 37 = 40$ and so on.

Then the fourth number will be

$77 + 80 = 157$

Then the fifth number will be

$157+160 = 317$

Thus, the missing number of the sequence is 157.

More about the sequence link is given below.

https://brainly.com/question/21961097