Answer:

Step-by-step explanation:
The explicit formula for an arithmetic sequence is given by :
...(1)
We need to find the 200th term of the sequence.
Put n = 200 in equation (1)

So, the 200th term of the sequence is 418.
Answer:
Here
Step-by-step explanation:
We move all terms to the left:
7+9x-(6x-2)=0
We get rid of parentheses
9x-6x+2+7=0
We add all the numbers together, and all the variables
3x+9=0
We move all terms containing x to the left, all other terms to the right
3x=-9
x=-9/3
x=-3
Answer:
B. -3, -10, -17, -24, -31
Step-by-step explanation:
An Arithmetic sequence is defined as a set of numbers with a common difference. In answer choice B, it is seen that the difference between each number is seven.
A is incorrect as one to eight has a difference of seven, while the other numbers have a difference of eight.
C is incorrect as it skips the number 12 between 9 and 15, thus breaking the sequence.
D is incorrect as the numbers jump from positive to negative, thus not having a common difference.
Hope this helps!
The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
<h3>Properties of a triangle</h3>
From the question, we are to determine the expression that expresses all possible lengths of segment AB
From one of the properties of a triangle,
The <u>third side</u> of any triangle is greater than the difference of the other <u>two sides</u>; and the <u>third side</u> of any triangle is lesser than the sum of the <u>two other sides</u>
Then, we can write that
AB < 27 + 54
and
AB > 54 - 27
Putting the two inequalities together, we get
54 - 27 < AB < 27 + 54
27 < AB < 81
Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
Learn more on the Properties of a triangle here: brainly.com/question/1851668
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Answer:
rise
Step-by-step explanation: