Answer:
3
Step-by-step explanation:
Answer:
(a) -7 , - 9 , - 11
(b) Arithmetic sequence
(c) There is a common difference of -2
(d) -53
Step-by-step explanation:
(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :
check :
-3 - (-1) = -5 - (-3) = -7 - (-5) = -2
This means that there is a common difference of -2 , which means it is an arithmetic sequence.
The next 3 terms we are to find are: 5th term , 6th term and 7th term.
= a + 4d
= - 1 + 4 ( -2 )
= -1 - 8
= - 9
6th term = a +5d
= -1 + 5(-2)
= -1 - 10
= - 11
= a + 6d
= -1 + 6 (-2)
= -1 - 12
= -13
Therefore : the next 3 terms are : -9 , -11 , - 13
(b) it is an arithmetic sequence because there is a common difference which is -2
(c) Because of the existence of common difference
(d) = a + 26d
= -1 + 26 ( -2 )
= -1 - 52
= - 53
Answer:
4n-10
Step-by-step explanation:
First we will use n as any number.
the difference between each of the numbers is +4
This creates first part of the formula.
4n...
If you do 4n and replace n as one (For the first number of the sequence) then 4×1=4. You then have to find out how much you need to add or subtract to get -6 so the difference between 4 and -6 is -10.
This creates the second part of our formula.
4n - 10
You can check this by doing the same thing for the second number and replacing n with 2.
2×4=8
8 - 10= -2 which is the second number in the sequence which confirms this is correct.
On Friday, Beth will most likely do 39 sit ups. Every day she is doing an extra 6 sit ups.... Thursday would be 33 sit ups and Friday would be 39 sit ups.
Answer:
3 is -3, 4 is 3
Step-by-step explanation:
In slope intercept form (y = mx+b)
m is the slope
b is the y-intercept
y = mx+b
y = -1(x) + 3
b = 3