What is the change between the pairs of consecutive terms?
Pattern: Previous term * 23 Next Two Terms: 32/81 and 64/243
Practice makes perfect
By observing the change that occurs between each consecutive term, we can describe the pattern of the sequence. Here we can see each term is 23 times the previous term. To help visualize it, we can rewrite 2 as 21.
2/1* 23 ⟶4/3* 23 ⟶8/9* 23 ⟶16/27
To find the next two terms in the sequence, we will extend this pattern twice.
2* 23 ⟶4/3* 23 ⟶8/9* 23 ⟶16/27* 23 ⟶ 32/81* 23 ⟶ 64/243
