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Often mathematical formulae require the addition of many variables Summation or sigma notation is a convenient and simple form of shorthand used to give a concise expression for a sum of the values of a variable.

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Pascal's triangle
Expanding a binomial (all terms)
Finding a particular term in binomial expansion.

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Fibonacci sequence
Golden Ratio: 1.618
"e"
Euler's Formula

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The domino effect
Math Induction is used to prove both series/sum and divisibility statements.

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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.

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Expand a binomial
Find a term in the series

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Finding the value
Using the first few terms and finding there value
Write complex numbers in exponential form
e^x= x^n/n!= 1+x+x^2/2

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Series proof.
Divisibility proof.
Use 3 steps of induction.
Show n=1 works.
Assume n=k works.
Show n=k+1 works.

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We need to be cautious of the limits of the sigma notation. It can either be a small integer or it can also be infinite.

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When expanding the equation, we need to be cautious of the exponent of the original equation, also with the positive/negative signs.

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On e^x problems, don't round along the way.

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Don't forget to at k+1 to both sides
For Divisibility t=the the leftover from the factor

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Get sigma on calculator for finite sums: Math button, then press Zero

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Math -> Probabilty -> 4 -> !
Make sure parenthesis around terms

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Ln & e^x can be useful to solve these problems.
ln(-1)=i(pi)
ln(e^n)=n

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Check your numbers you input and check the you distributed properly.