Question

Find the differences between the terms. Then, state yes or no whether the sequence is arithmetic. Enter your answers as a, b, c yes/no like this: +4,+2,-4, yes. Be sure to include whether it's + or - for each term.
-8 , -5, -2, 1 ...

Answer 1

For a sequence to be arithmetic, it means that the common difference between the terms must be a constant. We see here that from the previous term to the next, it always increases by a constant 3 if the pattern were to continue. That means our sequence is arithmetic with a common difference of 3. (+3+3+3, yes)