Question

Martha works at a small jewelry store. She designed 2 rings in the furst hour. Every additional hour, she designs 3 new rings.

Answer 1

So should be it is 53

Answer 2

The options that explain the sequence are:

Option A: r(1) = 2; r(n) = r(n - 1) + 3 for n

Option E: r(n) = 3n - 1

How to find the Sequence Pattern?

The general form for an arithmetic sequence is:

aₙ = a + (n - 1)d

where:

a is first term

d is common difference

We are told that she designed 2 rings in the first hour. Thus:

r(1) = 2

Every additional hour, she designs 3 new rings. Thus, the common difference is 3. Thus, we have:

r(n) = 2 + (n - 1)3

r(n) = 2 + 3n - 3

r(n) = 3n - 1

We can also write:

r(n) = r(n - 1) + 3