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

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