Using the recurrence relation, we can find a couple more values in the sequence:
- a3 = 3a2 -3a1 +a0 = 3(4) -3(2) +2 = 8
- a4 = 3a3 -3a2 +a1 = 3(8) -3(4) +2 = 14
First differences are 0, 2, 4, 6, ...
Second differences are constant at 2, so the function is quadratic.
The sequence can be described by the quadratic ...
... an = n² -n +2
_____
We know the value for n=0 is 2, so we can find <em>a</em> and <em>b</em> using the given values for a1 and a2.
... an = an² +bn +2
... a1 = 2 = a·1² +b·1 +2 . . . . for n=1
... a + b = 0
... a2 = 4 = a·2² -a·2 +2 . . . . for n = 2; using b=-a from the previous equation
... 2 = 2a
... a = 1 . . . . so b = -1
P-.15p this is the expression for cost after discount
and its just .15p for just the discount
Answer:
The area of the semi-circle
A = 1320.37 cm²
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given the diameter of the circle 'd' = 58cm
The radius of the circle 'd' = 2r
The area of the semi-circle
A = 1320.37 cm²
Answer: 8200 miles
Step-by-step explanation:
Based on the question, since she wants to go for five round trips, her first round trip is fixed at 3400 and she will have 4 more additional trips. This can them be calculated as:
= 3400 + 1200x
x = additional trips = 4
We then put the value of x into the equation
= 3400 + 1200x
= 3400 + 1200(4)
= 3400 + 4800
= 8200
She'll have 8200 mile after 5 round trips
Answer:
x=8
Step-by-step explanation:
3(x-5)=9
3x-15=9
3x-15+15=9+15
3x=24
x=8
