sequences

• when looking at identifying the explicit rule, it is finding the rule through linear equations and quadratic relationships like that
  • different when finding the recursive rule.
  • look and think about what the rule might be, 1 square 2 square 3 square etc.
  • contextual questions when dealing with time - be careful how n relates to the context!
  • be careful what n=, “in 5 years time, when n starts at 1”, n = 6
    • however, “in the 5th year” n is 5
    • in the 5th year and in 5 years time is different depending on what n starts at!!!!!!!!!!!!!! be very very careful oOoOoOoOoo

applications of exponentials §

• can be modelled using general form$A=A_0{b}^t$ (not every exponential can be modelled with this however, there exists a more general formulae where there is something cooling down - to a diff temperature, and there is a clear tangent, but you cannot model this with the general formula, where you need some sort of + k)
• A is the final amount, A0 is the initial amount, b is growth/decay
• half life formula yay!!!!!! (physics reference)