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Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.{6,9,12,15,18,...}Assume the first term is a1.an =

Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues69121518Assume the first term is a1an class=


Answer :

Given the following sequence:

[tex]\lbrace6,9,12,15,18,....\rbrace[/tex]

It will be an arithmetic sequence because there is a common difference between the terms is constant

d = 9 - 6 = 12 - 9 = 15 - 12 = 18 - 15 = 3

d = 3

The formula of the general term will be as follows:

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

substitute a1 = 6 and d = 3

So, the answer will be:

[tex]a_n=6+3(n-1)[/tex]

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