Geometric Sequences and Exponential Functions Flashcards
What is the explicit rule for a geometric sequence?
f(n)= f(1) * r ^ n-1
What is the recursive rule for geometric sequence?
f(1) _ f(n)-f(n-1) * r n greater or equal to 2
What is vertical stretch?
a > 1
What is vertical compression ?
a < 1
What is the exponential function?
f(x) = ab^x
What letter is the initial value/x=0/ y-intercept in an exponential function?
a
What letter is the common ratio for an geometric sequence ?
b
What letter is the exponent in an exponential function?
^x
Does this formula show exponential growth or decay?
y= a ( 1+r )^t
exponential growth
Does this formula show exponential growth or decay?
y= a (1-r ) ^t
exponential decay
What word means going down in value?
depreciating
What word means going up in value?
appreciating