Question

2, 1, 1/2, 1/4, . . .

Arithmetic
Geometric
Both
Neither

Answer 1

arithmetic and geometric
arithmetic : difference is : add - 1/2 to each term to find the next term
geometric : difference is : multiply each term by 1/2 to find the next term

Answer 2

It cannot be both @texaschic101

Answer 3

It is both

Answer 4

But it can't

Answer 5

@texaschic101

Answer 6

2, 1, 1/2, 14

Check for arithmetic sequence.

1) Look at the first and second terms: 2, 1
Subtract the first term from the second term: 1 - 2 = -1

2) Look at the second and third terms: 1, 1/2
Subtract the second term from the third term: 1/2 - 1 = -1/2

The two differences are different, so it cannot be an arithmetic sequence.

Answer 7

Now to check for a geometric sequence, follow the same steps above, but divide the terms instead of subtracting them. If you get the same result every time you divide consecutive terms, it is a geometric sequence.

Answer 8

your right...I am sorry....not arithmetic

Answer 9

That's what I thought. :)

Answer 10

again...I am so sorry :(

Answer 11

2, 1, 1/2, 1/4
Check for geometric sequence:
(1)/(2) = 1/2
(1/2)/(1) = 1/2
(1/4)/(1/2) = 1/2
All divisions give you the same answer, so it's geometric.

Answer 12

@mathstudent55 can you help me with a few more?

Answer 13

Yes, but please start a new post for each new question.

Answer 14

Okay, thank you