Answer:
78.5 square units
Step-by-step explanation:
What is the rule for the following sequence: 2, 9, 21, 65
1 answer:
There is no common ratio or common difference. The first three terms increases more slowly than a cubic, but the last three increase more quickly than the cube of n. The pattern is not obvious to me. When the sequence is cast in recursive terms, you get
... a[n] = (48/13)a[n-2] + (59/39)a[n-1] . . . . a[1] = 2, a[2] = 9
The next term using this rule is 174 34/39, not an integer.
The coefficients p and q for a[n-2] and a[n-1] can be found from
_____
Any sequence of 4 numbers can be matched by a polynomial of degree 3 or less. Here, a calculator's polynomial regression function tells us the rule could be
... a[n] = 4.5n³ -24.5n² +49n -27
Using this rule, the next two terms are 168 and 357.
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Let x be the number of texts (amount of texts) Carly does in a month.
Let y be the "total" amount Carly will have to pay in a month.
Then, as per the TURKEY plan, Carly's monthly total cost will be represented by the equation as shown:
As we can clearly see in the above equation even if Carly does not text a single message (when x=0), even then they will have to pay $20 for that month.
For the GOBBLE plan, the equation will be: .
In this plan as there is no fixed charge, Carly wont have to pay anything extra if they dont make a call.
Answer:
A) Particular solution:
B) Homogeneous solution:
C) The most general solution is
Step-by-step explanation:
Given non homogeneous ODE is
To find homogeneous solution:
To find particular solution:
Substituting in (1)
Equating the coefficients
The general solution is
from (2) ad (3)