Review It Part 2
The following table explains the correct computation used to determine the terms in each sequence based on the common ratio or common difference. Make sure that you understand these answers before moving on to Conquer It.
Numerical value of the common ratio or common difference | Arithmetic Sequence | Geometric Sequence | Explanation |
---|---|---|---|
+10 | 6, 16, 26, 36, … | 6 + 10 = 16, 16 + 10 = 26, 26 + 10 = 36, … | |
negative1.2 | 100, 98.8, 97.6, 96.4, … | 100 − 1.2 = 98.8, 98.8 − 1.2 = 97.6, … | |
÷10 | 10000, 1000, 100, … | 10000 ÷ 10 = 1000, 1000 ÷ 10 = 100, … | |
×1.2 | 15, 18, 21.6, 25.92, … | 15 × 1.2 = 18, 18 × 1.5 = 21.6, … | |
multiply three halves | , , , , … | Two-fifths times three-halves equals three-fifths, three-fifths times three-halves equals nine-tenths, nine-tenths times three-halves equals twenty-seven twentieths. |