Question

Tell whether the sequence is arthmetic. Common difference (-3,-7,-10,-14)

Answer 1

Not arithmetic and no common difference.

Explanation:

Arithmetic sequence is a sequence of numbers increasing or decreasing in a constant form. That is where the common difference come.

To get the common difference to determine if it is arithmetic, you subtract the values like this: n₂ - n₁ = n₃ - n₂ = n₄ - n₃ and so on.

So,

-7 - (-3) = -4

-10 - (-7) = -3

-14 - (-10) = -4

As you can see, there is one set of numbers that result to -3 while the others are -4. They are not arithmetic and do not have a common difference.

Answer 2

Not an arithmetic sequence

Explanation:

For the sequence to be arithmetic there must be a common difference between consecutive terms.

- 7 - (- 3) = - 7 + 3 = - 4

- 10 - (- 7) = - 10 + 7 = - 3

- 14 - (- 10) = - 14 + 10 = - 4

The differences are not common , hence not an arithmetic sequence