# data[].attributes.body
Sigma Notation

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

# data[].attributes.body
Euler's Formula
Fibonacci Series
Golden Ratio

# data[].attributes.body
prove the validity of the mathematical statement
solve series and divisibility statements

# 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
Using pascal's triangle to expand a binomial.
1. use the terms in the triangle in from of each term in the series
2. simplify
Finding terms using the binomial theorem.
1. plug in the numbers into the equation
2. simplify

# data[].attributes.body
Approximating the value of e using the exponential series.
1. use the exponential series formula
2. plug in e for x
3. evaluate and plug into the calculator.
Approximating the value of sin or cos using the trigonometric series.
1. use the trigonometric series formula
2. plug in sin or cos for x
3. evaluate and plug into the calculator.
Using Euler's Formula to find a complex number.
1. use different parts of the formula to write complex numbers.

# 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
putting in the problem in the calculator right

# data[].attributes.body
make sure r is one less than the term #
make sure negatives and positives are correct

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

# data[].attributes.body
not putting (k+1) in parentheses
forgetting to change n to k
not putting the k+1 term on both sides

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

# data[].attributes.body
make sure exponents are correct

# data[].attributes.body
take ln not log
make sure you take the furthest decimal possible

# data[].attributes.body
remember the parentheses when putting in calculator