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Arithmetic Sequences

Author: Tadvick Elizabeth
Description: Match each arithmetic sequence with its recursive and explicit formula.
Keywords: , , , , , , online teaching

Content:
Definitions:
0. 13,16,19,...
1. 19,30,41,52,...
2. 2,-2,-12,22,...
3. 13,10,7,4,...
4. 2,12,22,32,...
5. -7,-11,-15,-19,..
6. 1.1,1.9,2.7,...
7. -9,1,9,17,...
8. -9,-17,-24,-32,...
9. 1.1,0.3,-0.5,...
10. -7,-3,1,5,...
11. __,24, 36, 52,...
12. 4.6,4.7,4.8,5.0,..
13. __, 38, 53, 68,...
14. 4.6,4.7,4.8,4.9,...
15. 19,8,-3,-14,...

Answers:
0. a(n)=13-3(n-1)
1. a(n)=a(n-1)%2b4 a(1)=-7
2. a(n)=-2%2b10n
3. a(n)=a(n-1)-4 a(1)=-7
4. a(n)=13%2b3(n-1)
5. a(n)=a(n-1)%2b15 a(1)=23
6. not an arithmetic sequence
7. a(n)=4.5%2b0.1n
8. a(n)=a(n-1)-0.8 a(1)=1.1
9. a(n)=-9%2b(n-1)(-8)
10. a(n)=a(n-1)%2b0.8 a(1)=1.1
11. a(n)=a(n-1)%2b14 a(1)=10
12. a(n)=-9%2b(n-1)(8)
13. a(n)=(n-1)%2b11 a(1)=19
14. a(n)=a(n-1)-11 a(1)=19
15. a(n)=12-10n
.