# data[].attributes.body
The sigma symbol can be used all by itself to represent a generic sum the general idea of a sum, of an unspecified number of unspecified terms.

# data[].attributes.body
Pascal's triangle
Expanding a binomial (all terms)
Finding a particular term in binomial expansion.

# data[].attributes.body
The Fibonacci sequence describes many patterns of numbers found in
nature.
Euler number can be expressed as the sum of the infinite series.

# data[].attributes.body
Mathematical Induction is a mathematical technique which is used to prove a statement, a formula or a theorem is true for every natural number.

# data[].attributes.body
Expand a series from sigma notation (plug in the first n value to the formula and keep increasing by 1).
Find a finite sum using calculator.
Find an infinite sum using formula  S=a1/(1-r)
Go from a series to the sigma notation.

# data[].attributes.body
1)Use Pascal's triangle to expand binomials.
2)Use the Binomial Theorem
3)Find a particular term of a binomial using the sigma form of the Binomial Theorem

# data[].attributes.body
Use the first five terms of the exponential series and a calculator to approximate the value.
1) Use exponential series.  Change the x to the power.
2) Calculate those terms on calculator.

# data[].attributes.body
Series proof.
Divisibility proof.
Use 3 steps of induction.
Show n=1 works.
Assume n=k works.
Show n=k+1 works.

# data[].attributes.body
Forget to times the Pascal's triangle numbers.

# data[].attributes.body
Don't just add a term in one side, you have to add it in both side to keep the equation equivalent.

# data[].attributes.body
Get factorial on calculator for a specific term: Type the number you want to do factorial first. Click math button, go to the PROB, then choose number 4, which is !.

# data[].attributes.body
Type everything on the calculator carefully, use parentheses.

# data[].attributes.body
It is not always starting with n=1.

# data[].attributes.body
On e^x problems, don't round along the way.

# data[].attributes.body
Get sigma on calculator for finite sums: Math button, then press Zero

# data[].attributes.body
Plug everything on calculator carefully, don't forget to use parentheses.