Question

One month, Ava purchased a set of 35 stamps. Each month, starting the second month, she purchased 3 more stamps for her collection. What is the explicit rule for the number of stamps in Ava's collection after n months? Enter your answer in the box. an=

Answer 1

35 + 3n= x
x being the total amount of stamps!

is there a substitution for n? or a number of months?

Answer 2

`a_n = 3n + 32`

Explanation:

Ava purchased a set of 35 stamps. Each month, starting the second month, she purchased 3 more stamps for her collection.

So first month she has 35 stamps, second months she has 38 stamps and so on...

35, 38, 41, 44........

This is arithmetic sequence , so we use formula

`a_n = a_1+(n-1)d`

Where a1 is the first term and d is the difference

a1= 35, d= 3

so formula becomes

`a_n = 35+(n-1)3`

`a_n = 35+3n - 3`

`a_n = 3n + 32`