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:
she has 2/4 of the jug left. hope this helped a bit!
Step-by-step explanation:
3/4 - 1/4 = 2/4 or 1/2 (simplified)
Answer:
1+1= 2
Step-by-step explanation:
or sometimes people say 11, but irl its 2
Answer:
$16.35
Step-by-step explanation:
15 x 1.09 = 16.35
Answer:
-3+1/5
Step-by-step explanation:
