Tell whether the sequence is arithmetic. If it is, identify the common difference.
-7, -3, 1, 5,...
A. Not arithmetic
B. Arithmetic, common difference is 4
C. Arithmetic, common difference is 8
D. Arithmetic, common difference is 7
Arithmetic = going up or down the same units: going down by -4; true
Common difference = how much it is going up: -4
Solution: yes it’s arithmetic. The common difference is -4. The next three terms is -9, -13, -17
Oh, this sequence is more dramatic than arithmetic. It's like a rollercoaster ride! It goes from -7 to -3 to 1 to 5. It's definitely not arithmetic, but it's still an interesting sequence, don't you think? So the answer is A. Not arithmetic.
To determine whether the given sequence is arithmetic and identify the common difference, we need to check if the difference between consecutive terms is the same.
Let's calculate the differences between consecutive terms:
-3 - (-7) = 4
1 - (-3) = 4
5 - 1 = 4
The differences between consecutive terms are all equal to 4, which means the sequence is arithmetic.
Now, let's identify the common difference. We have found that the difference between each consecutive term is 4. Therefore, the common difference for this sequence is 4.
So, the correct answer is B. Arithmetic, common difference is 4.
seriously?
T_T
just test it
-7 + 4 = -3
keep adding 4 and see whether the sequence appears