To find the number of terms in the arithmetic sequence, we need to use the formula
where
is the nth number,
is the first number, n is the number of terms and d is the difference of the two consecutive numbers.
7373 = 1313 + (n - 1)(303)
7373 = 1313 + 303n - 303
7373 = 1010 + 303n
7373 - 1010 = 303n
6363 = 303n
6363 ÷ 303 = n
n = 21
Therefore, there are 21 terms in the arithmetic sequence given.
The answer will be A. Division property of equality
Are you doing 8 times 60 or8x = 60?
-Zayn Malik 1795
Hey. Let me help you on this one.
In order for us to solve this problem, we will need to set up an equation which we can solve later. I will also be attaching an image with the work shown in case you don't understand my explanation. Make sure to read over it since it will help you with your studies.
We know that the length is twice the width, meaning that
, with "a" standing for length, and "b" standing for width. Now that we have formed an equation for length, we can actually form an equation for perimeter.
Let's simplify the equation so it's easier and less confusing for us to solve it.
Let's divide 6 from both sides, thus eliminating all variables except for b on the right side.
"3" in 8.3 is repeating. This is very important to remember. Now, we know the width of the triangle. Let's find the length of the triangle so we can then multiply both numbers together and find the area.
"6" in 16.6 is repeating as well. It's crucial to remember as well. We know the values now, meaning that we can find the area of the rectangle.
Answer: Area of the rectangle is 138.8 (with 8 repeating).
