Answer:
The 13th term is 81<em>x</em> + 59.
Step-by-step explanation:
We are given the arithmetic sequence:
And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:
Find the common difference by subtracting the first term from the second:
Distribute:
Combine like terms. Hence:
The common difference is (7<em>x</em> + 5).
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:
Where <em>a</em> is the initial term and <em>d</em> is the common difference.
The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:
To find the 13th term, let <em>n</em> = 13. Hence:
Simplify:
The 13th term is 81<em>x</em> + 59.
You answer would be 0.012345678.
Calculate it
The correct answer is 2.5×10^2
Hope this helped :)
The price of a painting in the year 2022 will be $ 568,000.
<h3>What is inflation?</h3>
A rise in the amount of a certain product or service is known as inflation.
Given data;
Cost of painting in the year 2021, P₁ = $560,000
Cost of painting in the year 2022, P₂ =?
The amount increases every year,x = $8,000
The cost of painting in the year 2022 is found as;
P₂ = P₁ + x
P₂= $560,000 + $8,000
P₂ = $ 568,000
Hence the price of a painting in the year 2022 will be $ 568,000.
To learn more about inflation refer;
brainly.com/question/19263433
#SPJ1
Make sure that the subtraction is set up in the correct order. We are subtracting -7+2 FROM 2n-1.
(2n-1) - (-7n+2)
Distribute the negative.
(2n-1) + (7n-2)
Combine like terms.
9n - 3
The answer is B.
