2.1-2.3 Flashcards
arithmetic sequences
have a constant roc over equal length intervals (d)
behave like linear functions, except not continuous
arithmetic formulas/equations
An=A0+DN
or
An=Ak+D(N-K)
A0
initial term
D
common difference
geometric sequences
successive terms have a proportional change over equal length intervals
behave like exponential functions
geometric formulas/equations
Gn=G0R^N
or
Gn=GkR^(N-K)
linear vs exponential formulas
y=mx+b or y=ab^x
linear vs exponential change
addition or multiplication
be careful…
what do the x values change by??? especially when determining the d or r of a table
linear function
straight line
y=mx+b
quadratic function
parabola
y=x^2+b
exponential function
curved line
y=ab^x
in exponential functions
a cannot be zero and b cannot be one
a
initial amount
b
base or common ratio