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 = 5
Step-by-step explanation:
89b = 411 + 34 (445)
89b = 445
b = 5
Assuming that the artist wants to paint 6 sides of the cube, the formula to count the surface area of the cube would be: 6* edge length^2. If the edge length is 10 feet, then the area would be:
area= 6*edge length^2
area= 6* 10^2 feet
area= 6*100feet^2= 600 feet^2
If one gallon of paint can be used for 350 feet^2, the amount of paint needed would be: 600feet^2/ (350ft^2/ gallon)= 1.71 gallon
Answer:
32
Step-by-step explanation:
The equation 
and the graph below describe the velocity V in feet per second of a ball <em>t</em> seconds after it is shot into the air.
To find the balls velocity after seven seconds, substitute t = 7 into the function expression:
Paper Rectangular Prism
cuboid
