SOLUTION: Hi! I need some help developing a rule for the following number sequence: 4, 10, 18, 28, 40, 54, 72... I know that the pattern is increasing by two each time, but I am struggling

Question 365094: Hi! I need some help developing a rule for the following number sequence: 4, 10, 18, 28, 40, 54, 72...
I know that the pattern is increasing by two each time, but I am struggling to find a rule for this pattern.
Any help would be appreciated!
Thanks!!
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Look for a pattern that looks like,

.
.
.
Use the points to solve for ,, and .
.
.
1.
2.
3.
.
.
.
Subtract eq. 1 from eq. 2,

4.
Subtract eq. 1 from eq. 3,

5.
Subtract eq. 4 from eq. 5,

Then from eq. 4,

Then from eq. 1,

.
.
.

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