Given:
First term of an arithmetic sequence = 5
Second term = 3
To find:
The explicit formula for the given arithmetic sequence.
Solution:
We have,
First term: 
Second term: 
Common difference is
Now, the explicit formula for an arithmetic sequence is
where, a is first term and d is common difference.
Putting a=5 and d=-2, we get
It can also be written as
Here, n is an integer greater than or equal to 1.
Domain is the set of input values.
Therefore, the explicit equation is or and domain is all interest greater than or equal to 1.
Slope = (-5+7)/(6 - 7) = -2
y = mx + b
b = y - mx
b = -7 - (-2)(7)
b = -7 + 14
b = 7
equation
y = -2x + 7
answer
<span>a. y = -2x + 7</span>
Answer:
Amount of time would be greater than 95 minutes
Step-by-step explanation:
We are told that machine B can pack 11 boxes per minute.
Thus, this is 11x where x represents number of minutes.
We are told that the factory revives an order of over 1100 boxes and that it had already packed 55.
Thus,the inequality equation is;
11x + 55 > 1100
Solving this;
11x > 1100 - 55
11x > 1045
x > 1045/11
x > 95 minutes
<u>Answer:</u>
<u>Step-by-step </u><u>Explanation</u><u>:</u>
The sequence is following some rule. And the rule is: Multiplying the term with 4 to get the next term. Like:
Similarly, the next terms are:
The terms are <u>6</u><u>4</u><u>,</u><u> </u><u>2</u><u>5</u><u>6</u><u>,</u><u> </u><u>1</u><u>0</u><u>2</u><u>4</u> which matches with Option D. And that's the correct answer
