Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each sequence to its appropriate recursively defined function.
f(1) = -24
fa) = -4 -fn-1) for n 22
f(1) = 28
fin) = -4 -f(n-1) for n22
f(1) = 13
f(n) = 3 . fn-1) for n 22
f1) = 28
fin) = f(n-1) - 84 for n22
f(1) = -24
f(n) = 4-fn-1) for n 22
f(1) = 13
fin) = f n - 1) + 26 for n 22
Sequence
Recursively Defined Function
-24,-96,-384-1,536,...
13, 39, 65, 91,...
28, -112, 448,-1,792,-

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation: