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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=

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bakergirl5673
35 + 3n= x 
x being the total amount of stamps!

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

Answer:

[tex]a_n = 3n + 32[/tex]

Step-by-step 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

[tex]a_n = a_1+(n-1)d[/tex]

Where a1 is the first term and d is the difference

a1= 35, d= 3

so formula becomes

[tex]a_n = 35+(n-1)3[/tex]

[tex]a_n = 35+3n - 3[/tex]

[tex]a_n = 3n + 32[/tex]


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