Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
Answer:
1,716
Step-by-step explanation:
I just took the quiz.
I'm assuming that % means $:
8.95*2 = 17.9
23.65 - 17.9 = 5.74
The cost of the paint was $5.74
Mot enough information given.
The rule might be
-- add 6
or
-- double and add 8
or
-- square
or
-- multiply by -2 .
We need one more term to determine what the rule is for calculating the next term from the previous one.
The
