Find the equation of the line that has slope of 7 and passes through the point (-9,2).
1 answer:
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The pattern in the given series of amount in the account are in the form of
arithmetic and geometric progression.
- The function for Option 1 is;
- The function for Option 2 is;
Reasons:
The given table of values is presented as follows;
In Option 1, the amount in dollars for each year has a common difference of d = 100
The first term, a = 1,100
Therefore;
The Option 1 can be represented as an arithmetic progression , A.P. in the
form, tₙ = a + (n - 1)·d as follows;
For the Option 1, we have;
- The amount in dollars after <em>n</em> years,
For Option 2, it is possible to find;
1,331 ÷ 1,210 = 1,210 ÷ 1,100 = 1.1
Therefore;
The terms in the Option 2 have a common ratio of r = 1.1
The Option 2 is a geometric progression, G.P.
The first term in Option 2 is a = 1,100
Which gives, the nth term, tₙ = a·r⁽ⁿ ⁻ ¹⁾
Therefor;
- The function for the Option 2 is;
Learn more about arithmetic and geometric progression here:
a_{10} = \frac{177147}{65536} is solution of arithmetic progression (AP).
What is arithmetic progression (AP) in math?
- The difference between any two consecutive numbers in an arithmetic progression (AP) is always a fixed amount.
- The AP cost per invoice is calculated by dividing the total number of invoices paid over a certain time period by all the expenditures incurred to pay those invoices over that same time period.
- An accurate assessment of a company's AP efficiency can be made using this metric in conjunction with other accounts payable measures.
Write the general term through the pattern
Substitute and calculate
Learn more about arithmetic progression (AP)
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