The sequence is given to be:
The nth term of an arithmetic sequence is calculated using the formula:
where a₁ is the first term, n is the number of terms, and d is the common difference.
From the given sequence, the following parameters can be gotten:
Therefore, the parameters can be substituted into the formula to find the 52nd term:
The 52nd term is -438.
Answer:
Width = 11 yards
Length = 17 yards
Step-by-step explanation:
First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.
We know the area of a rectangle is A = width x length
For our case 187 = w . (w + 6)
Using the Distributive Property for the multiplication we obtain
Using the quadratic formula where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:
We have two options:
Or
But a distance (width) can not be negative so, this answer for w must be discarded.
The answer must be width = 11 yards.
To find the length
