What are the next three terms in the sequence 7/8, 1/2, 1/8

the next three terms are -1/4,-5/8,-1

Step-by-step explanation:

7/8,1/2,1/8

The common difference=1/2-7/8 or 1/8-1/2

Common difference=1/8-1/2=(1-4)/8=-3/8

4th term=3rd term +common difference

4th term=1/8+(-3/8)

4th term=1/8-3/8=(1-3)/8=-2/8=-1/4

5th term=4th term+common difference

5th term =-1/4+(-3/8)

5th term=-1/4-3/8

5th term=(-2-3)/8=-5/8

6th term=5th term + common difference

6th term=-5/8+(-3/8)

6th term=-5/8-3/8

6th term=(-5-3)/8=-8/8=-1

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step-by-step explanation: