# MATHS CORE 2 OVERVIEW

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## SEQUENCES AND SERIES

SEQUENCES AND SERIES

ARITHMETIC:

• A = 1st term
• D = Difference
• The ADDING one
• sn=n/2(2a+(n-1)d)
• un=a+(n-1)d

GEOMETRIC:

• un=ar"n-1
•  A = 1st term
• R = Common multiplier
•  sn = a(1-r"n)/1-r
• sn = a(r"n-1)/r-1
• Covergnant goes towards a number
• Divergnant goes towards
• Isolating goes - + - +
• S = a/1-r
• ∑Uⁿ = Starting at A (bottom number) and ending at M (top number)

•

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## POLYNOMIALS

POLYNOMIALS

• (x-a) is a factor of f(x) > f(a) = 0
• Start = Dividend
• Answer = Quofient
• What divided by = Divisor
• Whats left = Remaindor
• n/a - nCa
• PASCALS TRIANGLE
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• Area of sector = 1/2r²O
• Arc length = rO
• Deg > Rad = /120xPi AND ALTERNATIVE.
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## GRAPHS AND TRANSFORMATIONS

GRAPHS AND TRANSFORMATIONS

• f(X)+a = Shift of A units vertically
• f(a+x) = shift - a units horizontally e.g + 2 is a - 2 shift
• af(x) = vertical stretch factor a
• f(ax) = horizontal stretch factor 1/a
• f(-x) = reflect in y axis
• -f(x) = reflect in x axis
• 2cosx = 1 > 1/2 = cosx
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## EXPOENTIALS AND LOGS

EXPOENTIALS AND LOGS

• LogaA = 1
• Loga1 = 0
• LogaA² = 2
• Yx=b > LogyB = x
• LogA + LogB = Log AB
• LogA - LogB = LogA/B
• LogaN = NLogA
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