Answer:
Step-by-step explanation:
Basically -1/2 is the slope meaning you go down 1 and go to the right by 2 and then the -2 is the y-intercept meaning when x=0 y=-2
The first term is 138
The difference is 55
The iterative rule for the amount of money Mr Speas has after n weeks is
55/2 n² + 221/2 n
During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.
The first term will be 138 .
The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…
The difference = 193 - 138 = 55.
The iterative rule for the amount of money Mr Speas has after n weeks can be represented below
n = number of weeks
a = first term = 138
d = common difference = 55
Using AP formula,
sₙ = n/2(2a + (n - 1)d)
sₙ = n/2 (2(138)+ (n - 1)55)
sₙ = n /2(276 + 55n -55)
sₙ = n /2(221 + 55n)
sₙ = 55/2 n² + 221/2 n
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Answer:
The given expression is a cubic polynomial with degree 3.
Step-by-step explanation:
We are given the following in the question:

Polynomial:
- A polynomial is an expression.
- It consisting of variables and coefficients.
- The variables and coefficients involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
Since, the given expression satisfies all the properties, it is a polynomial.
Degree of polynomial:
- It is the maximum degree of the polynomial.
The degree of given polynomial is 3.
Nature of polynomial:
It is a cubic polynomial.