Question

Check whether the sequence is arithmetic. If​ so, find the common difference d.

6,7,9,10,12...

Answer 1

Explanation:

For a sequence to be "arithmetic," there must be a common difference from one term to the next. 6,7,9,10,12... does not live up to this criterion:

from 6 to 7 is 1

from 7 to 9 is 2

from 9 to 10 is 1

from 10 to 12 is 2

If the sequence were 6, 7, 8, 9, 10, the sequence would be "arithmetic," with a common difference of 1.

Answer 2

It is not an arithmetic sequence.

Explanation:

In an arithmetic sequence, the differences between any two consecutive terms are equal.

7 - 6 = 1

9 - 7 = 2

The differences between two different sets of consecutive terms are different, so it is not an arithmetic sequence.