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Coolmath Algebra
Sequences & Series Lesson 5 - Arithmetic Sequences (page 4 of 6)
---- This algebra lesson explains arithmetic sequences.

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Let's get more efficient with the notation:

term: a1 , term value: 3 + 0( 4 ) = 3 ... term: a2 , term value: 3 + 1( 4 ) = 7 ... term: a3 , term value: 3 + 2( 4 ) = 11 ... term: a4 , term value: 3 + 3( 4 ) = 15 ... term: a5 , term value: 3 + 4( 4 ) = 19

Do you see the pattern?

Check out the term number and the guy that's changing on the right...

What's

and

term: a1 , term value: 3 + 0( 4 ) = 3 ... term: a2 , term value: 3 + 1( 4 ) = 7 ... term: a3 , term value: 3 + 2( 4 ) = 11 ... term: a4 , term value: 3 + 3( 4 ) = 15 ... term: a5 , term value: 3 + 4( 4 ) = 19 ... term: a50 , term value: 3 + 49( 4 ) = 199 ... term: a100 , term value: 3 + 99( 4 ) = 399

So, the formula for the nth term is

Continued on the next page

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