Question

Determine whether the sequence given below forms arithmetic progressions. If yes, identify the common difference d, and find the 26th term. -12, -6, 0, 6, 12

Answer 1

arithmetic progression with d = 6

Explanation:

If the progression has a common difference d between consecutive terms then it is arithmetic

a₂ - a₁ = - 6 - (- 12) = - 6 + 12 = 6

a₃ - a₂ = 0 - (- 6) = 0 + 6 = 6

a₄ - a₃ = 6 - 0 = 6

a₅ - a₄ = 12 - 6 = 6

There is a common difference of 6 between consecutive terms.

Thus the sequence is arithmetic