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:
see explanation
Step-by-step explanation:
1
The cosine function in standard form is
y = acos(bx + c)
where a is the amplitude, period = 
and
phase shift = - 
here b = 2 and c = 
, thus
phase shift = - 
= - 
2
the amplitude = | a |
which has a maximum of a and a minimum of - a
y = 4cosx ← has a maximum value of 4
Answer:
I don’t see any graphs. Try copying android pasting images.
Step-by-step explanation:
Answer: B
Step-by-step explanation:
1. Convert gallons to quarts (1 gallon = 4 quarts)
2. Add 4 quarts to 2 1/2 quarts (6 1/2 quarts)
3. Multiply by 4 to find the amount of cups. (1 cup = 8 fl oz.)
HOPE IT HELPS BYEEEE
Answer:
True
Step-by-step explanation:
0 . 0 0 0
whole Tenths Hundredths Thousandths
