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.
The number 6.9 is already rounded to the nearest tenth.
Answer:
Sacramento is 8cm from San Francisco.
8cm in map = 91 miles
91/8 = 11.375
1cm in map = 11.375 miles
Sacramento is 7 cm away from Modesto.
7 · 11.375 = 79.625
The actual distance is 79.625 miles
Answer:
The power for the volume of the cube is '3'.
Exponent form of the volume is
Volume of the cube is inch³.
Step-by-step explanation:
We are given,
A cube with side equal to inches.
As we know,
Volume of a cube =
Thus, we get,
Volume of the given cube is,
Volume =
i.e. Volume = inch³
Thus, we have,
The power for the volume of the cube is '3'.
Exponent form of the volume is
Volume of the cube is inch³.
Answer:
(x + 2)^2 - 1
Step-by-step explanation:
x^2 + 4x + 1
= (x^2 + 4x + 2 - 2 + 1)
= (x + 2)^2 - 1