which sequences are arithmetic? check all that apply. –8.6, –5.0, –1.4, 2.2, 5.8, … 2, –2.2, 2.42, –2.662, 2.9282, … 5, 1, –3, –
sergiy2304 [10]
In an arithmetic sequence, the next term is found by adding a constant term to each number to arrive at the next number. The common difference can be found by subtracting the first term from the second term.
-8.6, -5.0, -1.4, 2.2, 5.8....the common difference here is 3.6
-8.6 + 3.6 = -5.0
-5.0 + 3.6 = -1.4
1.4 + 3.6 = 2.2
2.2 + 3.6 = 5.8
so this IS an arithmetic sequence.
2,-2.2, 2.42, -2.662, 2.9282...there is no common difference..so this is not an arithmetic sequence
5,1,-3,-7,-11....common difference is -4
5 + (-4) = 1
1 + (-4) = -3
-3 + (-4) = -7
-7 + (-4) = -11
this IS an arithmetic sequence
-3,3,9,15,21...common difference is 6
-3 + 6 = 3
3 + 6 = 9
9 + 6 = 15
15 + 6 = 21
this IS an arithmetic sequence
-6.2, -3.1, -1.55, -0.775, -0.3875...this is not an arithmetic sequence
Answer: b.14
Step-by-step explanation:
We have two shelves, the top shelf 
and the bottom shelf 
.
Now, firstly we are told the top shelf has 10 more than 1/3 the number of books on the bottom shelf. This can be expressed as:
(1)
Then, we are told there are 12 books on the bottom shelf:
(2)
Substituting (2) in (1):
(3)
(4)
(5) This is the number of books on the top shelf
Hence, the correct option is b.
Answer:
x=3
Step-by-step explanation:
It is correct
One room per day. Nine rooms in nine days
Answer:
A
Step-by-step explanation:
Given
(- 12x + 4) + 
(6x + 8) ← distribute parenthesis
= - 9x + 3 + 3x + 4 ← collect like terms
= - 6x + 7 → A
