Given the arithmetic sequence -4, 2, 8, 14,... What is the common difference?
Can't you subtract? I thought that was taught about first or second grade.
To find the common difference of an arithmetic sequence, you need to subtract one term from the next term.
In this case, if we subtract -4 from 2, we get 2 - (-4) = 2 + 4 = 6.
Similarly, if we subtract 2 from 8, we get 8 - 2 = 6.
And if we subtract 8 from 14, we get 14 - 8 = 6.
Since each subtraction gives us the same result of 6, the common difference of the arithmetic sequence is 6.
To find the common difference in an arithmetic sequence, we need to subtract any two consecutive terms in the sequence.
In this case, we can subtract the second term (2) from the first term (-4) to find the common difference:
Common difference = 2 - (-4) = 2 + 4 = 6
Therefore, the common difference in the arithmetic sequence is 6.