SOLUTION: decide whether the sequence is arithmetic, geometric, or neither. Explain your answer. 24. 6, 24, 96, 384... 25. 1,3,7,13... 26. 4, 13, 22, 31... 27. 3, -1, -5, -9... 28. -1

Question 553900: decide whether the sequence is arithmetic, geometric, or neither. Explain your answer.
24. 6, 24, 96, 384...
25. 1,3,7,13...
26. 4, 13, 22, 31...
27. 3, -1, -5, -9...
28. -11, -7, -3, 1...
29. 1/2, 3/2, 9/2, 27/2...
30. 1/3, 2/3, 1, 4/3...
31. -3/4, 1/8, -1/16, 3/32...
32. -3/5, 4/25, 5/125, 6/625...
find the common ratio of the geometric sequence
33. 1,4,16,64...
34. 3,6,12,24...
35. -3,6,-12, 24...
36. 5,40,320,2560...
37. 136,68,34,17...
38. -1/4,1/8, -1/16,1/32...
write a rule for the nth term of the geometric sequence. then fina a6.
39. 1,-4,16,-64...
40. 5,10,20,40...
41. 2,14,98,686
42. 6,-30,150,-750...
43. 5,-5/3,5/9,-5/27...
44. 2,4/3,8/9,16/27
please show ur work,, thanks for ur help!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
24. 6, 24, 96, 384...
The differences between consecutive terms are not the same, so it's not an arithmetic sequence:
,
The ratio of consecutive terms is constant:
= = = So it is a geometric sequence with common ratio = 4.
25. 1,3,7,13... has neither common difference, nor common ratio
, , --> not an arithmetic sequence
, , --> not a geometric sequence
26. 4, 13, 22, 31...
---> arithmetic sequence
27. 3, -1, -5, -9...
, , --> arithmetic sequence
28. -11, -7, -3, 1...
, , --> arithmetic sequence
29. 1/2, 3/2, 9/2, 27/2...
= = = --> geometric sequence
30. 1/3, 2/3, 1, 4/3...
--> arithmetic sequence
31. -3/4, 1/8, -1/16, 3/32...
the numbers alternate between positive and negative, and so will the difference, so there cannot be a common difference --> not an arithmetic sequence
, , --> not a geometric sequence
32. -3/5, 4/25, 5/125, 6/625...
, , --> not an arithmetic sequence
, , --> not a geometric sequence
find the common ratio of the geometric sequence
33. 1,4,16,64...
The common ratio is 4.
34. 3,6,12,24...
The common ratio is 2.
35. -3,6,-12, 24...
The common ratio is -2.
36. 5,40,320,2560... You can do this one.
37. 136,68,34,17... You can do this one.
38. -1/4,1/8, -1/16,1/32...
, ,
The common ratio is -1/2.
write a rule for the nth term of the geometric sequence. Then find .
39. 1,-4,16,-64...
First find the common ratio and first term:
The common ratio is
The first term is .
--->

40. 5,10,20,40... ,

41. 2,14,98,686 You can do this one.
42. 6,-30,150,-750... You can do this one.
43. 5,-5/3,5/9,-5/27... ,

44. 2,4/3,8/9,16/27 ,

RELATED QUESTIONS
1) What is the next term in this geometric sequence? 104, -52, 26, -13, ... 2)If the... (answered by ikleyn,greenestamps)

1/12, 2/13, 3/14, 4/15... is this sequence geometric, arithmetic, or... (answered by psbhowmick)

State whether the following sequence is arithmetic, geometric, or neither. 4, 15, 26,... (answered by Alan3354)

Determine whether the sequence is arithmetic, geometric, both, or neither. 8, 14, 20,... (answered by ewatrrr)

Determine whether the sequence is arithmetic, geometric, or neither. 1,-3,9,-27,81...... (answered by Mini-)

For questions 1�6 identify each sequence as arithmetic or geometric. Then find the common (answered by nabla)

Determine if the following sequence is geometric, arithmetic, neither, or not even a... (answered by richard1234)

PLEASEE HELPPP ! Determine whether the sequence is arithmetic, geometric, or neither. (answered by Alan3354)

Indicate whether each of the following sequences, (A) is geometric, arithmetic, or... (answered by Boreal)