Determine whether each sequence below is arithmetic, geometric, or neither. Provide support for your conclusions.

sequence 1: one-half comma Start Fraction 7 over 6 End Fraction comma Start Fraction 11 over 6 End Fraction comma Start Fraction 5 over 2 End Fraction

sequence 2: one-half comma one-third comma Start Fraction 2 over 9 End Fraction comma Start Fraction 4 over 27 End Fraction
(4 points)
In one short sentence

1 answer

Sequence 1 is arithmetic because the difference between consecutive terms is constant (each term increases by one-third), while Sequence 2 is geometric because each term is multiplied by two-thirds to get the next term.