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Common Difference/Ratio
5 terms from a recursive formula
Give the recursive formula
Find the simplified explicit formula
Find the 20th term
100
5, 12, 19, 26, 33, 40
What is d=7
100
a(1)=7 a(n)=a(n-1)+6
What is 7, 13, 19, 25, 31
100
-4, -2, 0, 2, 4
What is a(1)=-4 a(n)=a(n-1)+2
100
-7, -4, -1, 2, 5
What is 3n-10
100
-7, -4, -1, 2, 5
What is 50
200
24, 13, 2, -9, -20, -31
What is d=-11
200
a(1)=30 a(n)=a(n-1)-9
What is 30, 21, 12, 3, -6
200
10, 7, 4, 1, -2
What is a(1)=10 a(n)=a(n-1)-3
200
5, 1, -3, -7, -11
What is -4n+9
200
5, 1, -3, -7, -11
What is -71
300
5, 15, 45, 135, 405, 1215
What is r=3
300
a(1)=-4 a(n)=4a(n-1)
What is -4, -16, -64, -256, -1024
300
3, 6, 12, 24, 48
What is a(1)=3 a(n)=2a(n-1)
300
19, 28, 37, 46, 55
What is 9n+10
300
19, 28, 37, 46, 55
What is 190
400
3, -12, 48, -192, 768, -3072
What is r=-4
400
a(1)=1 a(n)=-8a(n-1)
What is 1, -8, 64, -512, 4096
400
-2, 10, -50, 250, -1250
What is a(1)=-2 a(n)=-5a(n-1)
400
-6, -1, 4, 9, 14
What is 5n-11
400
5, 10, 20, 40, 80...
What is 2,621,440
500
1701, 567, 189, 63, 21, 7
What is r = 1/3
500
a(1)=96 a(n)=(1/2)a(n-1)
What is 96, 48, 24, 12, 6
500
80, 40, 20, 10, 5
What is a(1)=80 a(n)=1/2a(n-1)
500
8, 2, -4, -10, -16
What is -6n+14
500
43,046,721, 14,348,907, 4,782,969, 1,594,323... (give the answer as a fraction)
What is 1/27