Question

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

Answer 1

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