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:
B) 12.5%
Step-by-step explanation:
1. Find amount spent on clothes in July
$2800 * 8% = j
<em>j = $224</em>
2. Find amount spent of clothes in August
$224 + $126 = a
<em>a = $350</em>
3. Find the amount's percentage of the total
$350/$2800 = x
x = 0.125 = 12.5%
Answer:
16 rooms
Step-by-step explanation:
Answer:
the value is 4.
Step-by-step explanation:
Answer: b is the answer
Step-by-step explanation:
