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Determine if the sequence is arithmetic or not. If it is, find the common difference -3/4, -1/2, -1/4, 0?

User Epsilonpsi
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Final answer:

The given sequence -3/4, -1/2, -1/4, 0 is arithmetic with a common difference of 1/4.

Step-by-step explanation:

The given sequence is -3/4, -1/2, -1/4, 0. To determine if this sequence is arithmetic, we need to check if there is a common difference between each term. We can do this by subtracting each term from its previous term.

-1/2 - (-3/4) = -1/2 + 3/4 = 1/4

-1/4 - (-1/2) = -1/4 + 1/2 = 1/4

0 - (-1/4) = 0 + 1/4 = 1/4

Since the difference between each term is 1/4, which is constant, the given sequence is arithmetic with a common difference of 1/4.

User Luiquao
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