Arithmetic SequencesAuthor: Tadvick Elizabeth
Description: Match each arithmetic sequence with its recursive and explicit formula.
Keywords: , , , , , , online teaching
Content:
Definitions:
0. __,24, 36, 52,...
1. 2,12,22,32,...
2. -7,-3,1,5,...
3. -9,-17,-24,-32,...
4. 13,10,7,4,...
5. 4.6,4.7,4.8,4.9,...
6. 19,30,41,52,...
7. 13,16,19,...
8. 19,8,-3,-14,...
9. 1.1,1.9,2.7,...
10. __, 38, 53, 68,...
11. -9,1,9,17,...
12. -7,-11,-15,-19,..
13. 2,-2,-12,22,...
14. 4.6,4.7,4.8,5.0,..
15. 1.1,0.3,-0.5,...
Answers:
0. a(n)=a(n-1)%2b0.8
a(1)=1.1
1. a(n)=13-3(n-1)
2. a(n)=13%2b3(n-1)
3. a(n)=a(n-1)%2b14
a(1)=10
4. a(n)=-9%2b(n-1)(8)
5. not an arithmetic sequence
6. a(n)=-9%2b(n-1)(-8)
7. a(n)=-2%2b10n
8. a(n)=a(n-1)-4
a(1)=-7
9. a(n)=(n-1)%2b11
a(1)=19
10. a(n)=a(n-1)%2b15
a(1)=23
11. a(n)=a(n-1)-0.8
a(1)=1.1
12. a(n)=a(n-1)-11
a(1)=19
13. a(n)=4.5%2b0.1n
14. a(n)=12-10n
15. a(n)=a(n-1)%2b4
a(1)=-7
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