Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.
We are told that a=4 and d=6 so we have:
a(n)=4+6(n-1), so the 39th term is:
a(39)=4+6(38)
a(39)=4+228
a(39)=232
<u>0.09</u> = <u>1 </u>
0.9 10
I hope this helps.
You're trying to find constants
such that
. Equivalently, you're looking for the least-square solution to the following matrix equation.
To solve
, multiply both sides by the transpose of
, which introduces an invertible square matrix on the LHS.
Computing this, you'd find that
which means the first choice is correct.
The first option is the right one.
You have to find the greates common divisor of the coefficientes, which is -6 and then divide each momomial with lead to: -6 (m^2 + -3m + 6).
You can verifiy the result by multiplying -6 times the polynomial inside the parenthesis, using the distributive property.
A prism with square bases is just a square prism.
The volume of a rectangular prism is equal to its width times its length times its height. Since the base is a square, we can just say it's equal to the base squared times the height. Let's set up a formula, plug and chug.