Question

1. what is the specific operation being done in order to generate each sequence given below?

a. 3, 5, 7, 9
b. 27, 9, 3, 1

Explanation:

For sequence a: Observe the difference between consecutive terms. 5-3=2, 7-5=2, 9-7=2. Each term is 2 more than the prior one.
For sequence b: Observe the ratio between consecutive terms. $\frac{9}{27}=\frac{1}{3}$, $\frac{3}{9}=\frac{1}{3}$, $\frac{1}{3}=\frac{1}{3}$. Each term is divided by 3 from the prior one.

Answer:

a. Add 2 to the previous term
b. Divide the previous term by 3