Algebra: Sequences of numbers, series and how to sum them

Algebra ->  Algebra  -> Sequences-and-series -> Algebra: Sequences of numbers, series and how to sum them      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Algebra: Sequences of numbers, series and how to sum them Solvers Lessons Answers archive Quiz In Depth

A sequence is simply a function defined on the set of natural numbers. So, every natural number 1, 2, 3, ... has its own member of the sequence , , ...
A series is related to a sequence.  A series for a given sequence s is another sequence S where every member is the sum of elements  ,  , ...,  :  .
The topic on Sequences and Series is one of the most fascinating sections of the school mathematics.  At the same time this topic can be viewed as part of calculus.
You will learn about arithmetic and geometric progressions.  Like a magician, you will be able to calculate any term of a progression and easily summing them up.
You will get to know how summing up sequences of natural number; odd numbers; even numbers.  We carefully picked up interesting word problems on progressions for you.
You will find problems  on pipes stacked in a pile;  on four years old boy playing with Lego bricks;  on chocolate bars stacked on a shelf in a grocery store;  on seats
in the concert hall.  What is the connection between free falling body and arithmetic progression?  How uniformly accelerated motion interrelates to arithmetic progression?
Do you know that increments of a quadratic function form arithmetic progression?  What is the method of mathematical induction and how to apply it?
You will find all of this and even more in the lessons under this topic.   Welcome!

Algebra.Com is a people's math website. It relies on volunteers like you, who create our free content. Creating lessons is easy! Look for other lessons and click on 'view source'. All you have to really know is math.