Answer:
Find the explicit from for the sequence :
This next question I edited a bit. Your question just says find the four terms. I'm assuming they meant the first four. I also changed the c to an .
Find the first four terms of the sequence given by: :
a) 2,1,0.-3
You might want to read that second question again because there is errors in the question or things that don't really make sense. I made my own interpretation of the problem based on my own mathematical experience.
Step-by-step explanation:
So your first question actually says that you can find a term by taking that term's previous term and adding 4.
So more terms of the sequence starting at first term 6 is:
6,10,14,18,....
This is an arithmetic sequence. When thinking of arithmetic sequences you should just really by thinking about equations of lines.
Let's say we have this table for (x,y):
x | y
----------
1 6
2 10
3 14
4 18
So we already know the slope which is the common difference of an arithmetic sequence.
We also know point slope form of a line is where m is the slope and
is a point on the line. You can use any point on the line. I'm going to use the first point (1,6) with my slope=4.
:I added 6 on both sides here.
:I distribute here.
:This is what I get after combining like terms.
So and
so you have:
---------------------------------------------------------------------------------------
The first four terms of this sequence will be given by:
so it is between choice a, c, and d.
To find replace n with 2:
So we have to go another further the only one that has first two terms 2,1 is choice a.
It is given that area of rectangle of Kaitlin is 1500 sq.ft. with length 50 ft and a width of 30 ft.
The new area when new length 2 times the current length and the new width 2 times the current width.
a. The size of Kaitlin new patio is
b. The area of new patio is 4 times the area of current patio.