Question

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

Answer 1

Answer:

arithmetic sequence with d = 5

Step-by-step 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