Which of the following sequences is arithmetic? 0, 3, 6, 9, 12, 1, 4, 9, 16, 25, 200, 100, 50, 25, 4, 12, 36, 108,

Option A is the answer.

Step-by-step explanation:

If a sequence is given in the form of

Then the given sequence will be an arithmetic sequence if

Here d represents common difference.

Now we will check each option given in the question.

Option A.

0, 3, 6, 9, 12.....

As per definition

Therefore this sequence is an arithmetic sequence.

Option B.

1, 4, 9, 16, 25.......

Since difference between the terms is not common so the sequence is not an arithmetic sequence.

Option C.

200, 100, 50, 25.......

Since difference is not common in each term so it's not an arithmetic sequence.

Option D.

4, 12, 36, 108..........

Now common difference

So this sequence is not an arithmetic sequence.

Answer is Option A.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80