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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RADIANS

RADIANS

  • Area of sector = 1/2r²O
  • Arc length = rO
  • PiRadians = 1802PiRadians = 360
  • 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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