Tell whether the sequence is arithmetic. If the sequence is arithmetic, write a function rule to represent it.
12, –9, 6, –3, ...
yes
the arithmetic mean between term in an arithmetic sequence is 39 f one of these
term is 32 find the other term
Yes
To determine if a sequence is arithmetic, you need to check if there is a common difference between each term. In an arithmetic sequence, each term is obtained by adding or subtracting the same value to the previous term.
Let's calculate the difference between each pair of consecutive terms in the given sequence:
Difference between 2nd and 1st term: -9 - 12 = -21
Difference between 3rd and 2nd term: 6 - (-9) = 15
Difference between 4th and 3rd term: -3 - 6 = -9
As you can see, the differences are not the same. Therefore, the given sequence is not arithmetic.
If the sequence were arithmetic, we could have found the function rule by identifying the common difference. In this case, since the sequence is not arithmetic, we don't have a simple function rule that represents it.