Question

Arithmetic Geometric or Neither...

98.3, 94.1, 89.9, 85.7
1, 0, -1, 0
1.75, 3.5, 7, 14
-12, -10.8, -9.6, -8.4
-1, 1, -1, 1

Answer 1

Explanation:

98.3, 94.1, 89.9, 85.7 is an arithmetic sequence. Every new term is derived by subtracting the common difference, 4.2, from the previous term. Example: 94.1 - 4.2 = 89.9 (which is correct).

1, 0, -1, 0 is neither arithmetic nor geometric. True, the middle two terms are derived by subtracting the common difference, 1, from the previous term. But the fourth term, 0, does not follow this pattern.

1.75, 3.5, 7, 14 Each new term is twice the previous term, so this is a geometric sequence.

-12, -10.8, -9.6, -8.4 Neither arithmetic nor geometric.

-1, 1, -1, 1 Neither arithmetic nor geometric. This series alternates between -1 and 1, with no growth in term size.