Question

State whether each pattern is Arithmetic(A) or Geometric(G):
1, 5, 9, 13, 17

Answer 1

The sequence 1, 5, 9, 13, 17 is an Arithmetic sequence because the difference between consecutive terms is consistently 4.

Step-by-step explanation:

The sequence 1, 5, 9, 13, 17 is an Arithmetic sequence because the difference between successive terms is constant. To verify this, we can subtract each term from the one that follows it:

• 5 - 1 = 4
• 9 - 5 = 4
• 13 - 9 = 4
• 17 - 13 = 4

Since the difference is consistently 4, this pattern is characteristic of an arithmetic sequence, which is defined by the common difference between its terms.