An arithmetic sequence has first term a=5 and common difference d=4. How many terms of this sequence must be added to get 2849 terms? I know the answer is 37 but I don't understand how to get it? I end up with 5698 =6n + 4n2 I understand I would need to divide 4 from 4n2 but then I get a fraction that doesn't factor nicely? Can you please explain the steps I am missing in detail.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.