Determine whether the sequence is arithmetic. If so, find the common difference.
4, 16, 64, 256, 1024
Do you see a constant difference between terms? I don't.
It is not an arithmetic sequence. It is a geometric one.
Why? Each successive entry is four times the previous one.
To determine whether a sequence is arithmetic, we need to check if there's a constant difference between consecutive terms.
In this sequence, let's calculate the differences between consecutive terms:
16 - 4 = 12
64 - 16 = 48
256 - 64 = 192
1024 - 256 = 768
As we can see, the differences are not constant. Therefore, the sequence is not arithmetic.