Answer:
B
Step-by-step explanation:
write an explicit formula for the Nth term aN.
Answer:
an=−6n+2
Step-by-step explanation:
First, you need to identify the first term and the common difference of the sequence. The first term is the value of the first element, which is -4. The common difference is the amount that is added or subtracted to each term to get the next one, which is -6 in this case. You can find it by subtracting any two consecutive terms, such as -10 - (-4) = -6 or -16 - (-10) = -6.
Next, you need to use the standard explicit formula for an arithmetic sequence, which is:
an=a1+d(n−1)
where an is the Nth term, a1 is the first term, d is the common difference, and n is any term number.
Finally, you need to substitute the values of a1 and d that you found in the first step into the formula. This gives:
an=−4+(−6)(n−1)
This is the explicit formula for the Nth term aN of the given arithmetic sequence. You can simplify it further by expanding and combining like terms:
an=−4−6n+6
an=−6n+2
To find the length and width of a rectangle given the perimeter and the relationship between the length and width, we can set up an equation. By solving the equation, we can determine the dimensions of the rectangle.
Let's assume the width of the rectangle is x units. Given that the length is 5 more than the width, the length would be x + 5 units. The perimeter of a rectangle is given by 2(length + width), so we can write the equation as 2(x + 5 + x) = 170. Simplifying the equation, we get 4x + 10 = 170. Solving for x, we have x = 40. Therefore, the length is x + 5 = 45 units and the width is x = 40 units.
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How much does a book cost?
1 miles. How far did he travel?
Answer:
5 miles
Step-by-step explanation:
I'm assuming you meant 4 miles but 4 miles added to the one mile he walked is 5 miles.