1.5,0.75,0,-0.75 arithmetic,geometric,or neither

Question

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Answer 1

The sequence 1.5, 0.75, 0,-0.75,... is arithmetic because consecutive terms always decrease by the same amount. If a_n is the nth term of the sequence, then:

 

a₂ - a₁ = 0.75 - 1.5 = -0.75

a₃ - a₂ = 0 - 0.75 = -0.75

a₄ - a₃ = -0.75 - 0 = -0.75,  etc.

 

The sequence is arithmetic with common difference

d = -0.75 

Answer 2

 

Neither arithmetic nor geometric .