Final answer:
Arithmetic sequences involve adding a constant difference to each term, while geometric sequences involve multiplying each term by a constant ratio.
Step-by-step explanation:
Arithmetic vs Geometric Sequences:
Arithmetic sequences and geometric sequences are both types of number patterns. However, they have different ways of progressing from one term to the next.
Arithmetic Sequences:
An arithmetic sequence is a sequence in which each term is found by adding a constant difference to the previous term. For example, the sequence 1, 4, 7, 10, 13 is an arithmetic sequence because the difference between each term is 3.
Geometric Sequences:
A geometric sequence is a sequence in which each term is found by multiplying the previous term by a constant ratio. For example, the sequence 2, 6, 18, 54 is a geometric sequence because each term is three times the previous term.
It's important to note that the common difference in an arithmetic sequence is an addition or subtraction, while the common ratio in a geometric sequence is a multiplication or division.