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- Sigma is the upper case Greek Letter which in math is used to indicate a sum or series
- n = 1 is the starting value of n
- k is the maximum value of n
- An is the an expression for the general term

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

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- Approximate e^x, trigonometric values, and logarithms of negative numbers by using series.
- Use Euler's formula to write the exponential form of a complex number.
- Write the natural logarithm of a negative number as a complex number.
Know what the Fibonacci series is and why is it important.

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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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Evaluate the natural log of a negative number as a complex number. e^ia = cosπ + i sin a
1) Substitute π for the angle.
e^iπ = cosπ + i sin π
2) Simplify
e^iπ = -1 + i(0)
e^iπ = -1
3) Take the natural log of both sides

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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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Remember that the n value on the bottom of the sign is the starting point

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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 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 -> Probability -> 4 -> !
Make sure parenthesis around terms

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Utilise the In & e sign in your calculator to solve equations.

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Check your numbers you input and check if you distributed properly