Answer:
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 ,
Step-by-step explanation:
