To do this, you would need to use synthetic division.
-2 | 4 -3 10
-8 22
4 -11 32
Your reminder would be 32.
Sorry if my graph of synthetic division is a bit messy, you can only do so much on a phone!
Answer: The 25th term of the sequence is 75
Step-by-step explanation:
The given sequence depicts an arithmetic progression. The consecutive terms differ by a common difference. We will apply the formula for arithmetic progression.
Tn = a + (n-1)d
Tn = The value of the nth term of the arithmetic sequence.
a = first term of the sequence.
d = common difference (difference between a term and the consecutive term behind it)
n = number of terms in the sequence.
From the information given,
a = 3
d = 5-3 = 7-5 = 2
We want to look for the 25th term, T25
So n = 25
T25 = 3 + (25-1)2 = 3+ 24×2
T25 = 3 + 72 = 75
When finding the slope between two points, we simply take (y2-y1) / (x2-x1)
For this, we can substitute the following to get this :
y2-y1 and x2-x1
1 - 4 and 7 - 1
-3 and 6
-3 / 6 gets you -1/2
Therefore the answer is :
The slope of the line is -1/2
The width of the rectangular pen is equal to 14 feet.
10/9 or 1 1/9
I suggest using an app called Photomath for equations