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maria [59]
3 years ago
6

Is the sequence 16, 38, 104...geometric or arithmetic????

Mathematics
1 answer:
Iteru [2.4K]3 years ago
6 0

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:


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