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Mathematics 22 Online
OpenStudy (anonymous):

sequence is shown 2 5 8 11 14 find the expressions for the nth rerm of the sequence help ???

OpenStudy (alfie):

\[a_n = 2,5,8...n+3\]

OpenStudy (anonymous):

thanks

OpenStudy (asnaseer):

are you familiar with arithmetic sequence (or sometimes also called arithmetic progression)?

OpenStudy (anonymous):

nooo

OpenStudy (asnaseer):

ok, an arithmetic progression starts off at some number and then "progresses" by adding a fixed difference to this starting value to get the 2nd value. The 3rd value is then just the 2nd value plus the same fixed difference, etc. so the sequence you listed is an example of an arithmetic progression where the starting value is 2 and the difference between any two terms is 3.

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