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Tell weather the sentence is arithmetic if it is what is the common diffrance? -12 -7 -2 3

1 Answer

2 votes

Answer:

arithmetic sequence with d = 5

Explanation:

The sequence is arithmetic if a common difference d exists between consecutive terms

d =
a_(2) -
a_(1) =
a_(3) -
a_(2) = ....

a₂ - a₁ = - 7 - (- 12) = - 7 + 12 = 5

a₃ - a₂ = - 2 - (- 7) = - 2 + 7 = 5

a₄ - a₃ = 3 - (- 2) = 3 + 2 = 5

Since there is a common difference of 5 between consecutive terms of the sequence, it is arithmetic


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