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Algebra 16 Online
OpenStudy (anonymous):

Excuse me, but i need some help oh Arithmetic sequence. I don't understand at all. It says determine whether each sequence is Arithmetic if so, identify the common difference and find the 32th term. 1. 3, 18, 33, 40,... 2. 2, 5, 9, 14,... Your help will be greatly appreciated.

jimthompson5910 (jim_thompson5910):

3, 18, 33, 40, what's the difference from 3 to 18? the difference from 18 to 33? from 33 to 40? are these differences the same? If so, then we have an arithmetic sequence

jimthompson5910 (jim_thompson5910):

Tell me what you get so I can check your answer.

OpenStudy (anonymous):

Difference from 3 to 18 is 15 Difference from 18 to 33 is 15 and the difference from 33 to 40 is 7 so no not all of them are the same so does that mean it is not a arithmetic sequence?

jimthompson5910 (jim_thompson5910):

you nailed it

OpenStudy (anonymous):

Okay well that was simple thank you.

jimthompson5910 (jim_thompson5910):

at first, it looks like we have an arithmetic sequence going because the differences are 15 but...the difference changes to 7, breaking this idea

jimthompson5910 (jim_thompson5910):

how about the second one?

OpenStudy (anonymous):

okay, well 2 to 5 is 3 5 to 9 is 4 and 9 to 14 is 5 its not the same so is that a no?

jimthompson5910 (jim_thompson5910):

nice work, that is correct

OpenStudy (anonymous):

thanks:)

jimthompson5910 (jim_thompson5910):

you're welcome

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