This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=first term, d=common difference, n=term number.
We know a=1 and d=7 so:
a(n)=1+7(n-1)
a(n)=1+7n-7
a(n)=7n-6
The above is the "rule" for the nth term.
Answer:
13.89 miles
Step-by-step explanation:
Since we are calculating for hypotenuse, reference Pythagorean Theorem:
a^2 + b^2 = c^2
12^2 + 7^2 = c^2
144 + 49 = 193
square root of 193 = 13.89 (If rounded to hundredths place)
Answer:
that looks really hard
Step-by-step explanation:
Y = 3x - 2
-3x + y = -2
-3x = -y - 2
x = (1/3)y + 2/3