How do i write an equation for: 7, 7.5, 7.75, 7.875, do i use the geometric sequence formula or recursion formula? !

The solution to the problem is as follows:

Take the differences to look for a pattern. 

7.875 - 7.75 = 0.125 

7.75 - 7.5 = 0.25 

7.5 - 7 = 0.50 

It should be apparent that it is half the previous difference so 

next in sequence will be 7.875 + (0.125 / 2) which is 7.9375


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