determine if the sequence is arithmetic, geometric, or neither. find the common difference (d) or common ratio (r) if the sequence is arithmetic or geometric. find your answer in the answer bank at the bottom of this page. find the problem number on the coloring sheet. Use the color listed next to your answer choice to color in that section of the coloring sheet.
1. {3,5,7,9,...}
2. {5,10,12,30,...}
3. {2,6,18,54,...}
4. {1,4,8,16,...}
5. {-10,20,-40,...}
6. {-4,-7,-10,-13,...}
7. {3/2,2,5/2,3,...}
8. {1,-1/3,1/9,-1/27,...}
9. {-14,2,-1,5,...}
10. {-23,-37,-51,-65,...}
11. {12,10,1,-8,...}
12. {3,6,18,24,...}
13. {1000,100,10,1,...}
14. {5,25,125,625,...}
15. {5,6,8,11,...}
16. {7/3,3,11/3,13/3,...}
17. {1,-6,36,-216,...}
18. {4000,1000,250,62.5,...}
19. {-25,-5,15,35,...}
20. {2,4,12,48,...}
pls pa-sagot po
Answers & Comments
Answer:
1.) d = 2, arithmetic sequence
2.) not arithmetic neither geometric sequence
3.) r = 3, geometric sequence
Step-by-step explanation:
you will know if the sequence is arithmetic or geometric by testing the sequence whether they have common difference or common ratio.
example 1.) 3, 5, 7, 9
a1 = 3
a2 = 5
a3 = 7
try common difference:
a2 - a1 = 5 - 3 = 2
a3 - a2 = 7 - 5 = 2
as you can see they have common difference, therefore arithmetic sequence
example 2.) 5, 10, 12, 30
a1 = 5
a2 = 10
a3 = 12
try common difference:
a2 - a1 = 10 - 5 = 5
a3 - a2 = 12 - 10 = 2
therefore not common difference,
now, try common ratio
a2/a1 = 10/5 = 2
a3/a2 = 12/10 = 1.2
therefore not common ratio
5, 10, 12, 30 is not geometric neither arithmetic sequence.
example no.3) 2, 6, 18, 54
a1 = 2
a2 = 6
a3 = 18
now, try common ratio
a2/a1 = 6/2 = 3
a3/a2 = 18/6 = 3
common ratio, therefore geometric sequence
Ikaw nalang gumawa ng iba, kakain pa ako sa labas.