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Arithmetic and Geometric Sequences
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 Common Difference/Ratio First Five Terms from Recursive Formula Give the Recursive Formula Give the Explicit Formula Find the 30th term 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50 Final Question

5, 12, 19, 26, 33, 40
5, 12, 19, 26, 33, 40
d=7
24, 13, 2, -9, -20, -31
24, 13, 2, -9, -20, -31
d=-11
5, 15, 45, 135, 405, 1215
5, 15, 45, 135, 405, 1215
r=3
3, -12, 48, -192, 768, -3072
3, -12, 48, -192, 768, -3072
r=-4
1701, 567, 189, 63, 21, 7
1701, 567, 189, 63, 21, 7
r=1/3
a(1)=7 a(n)=a(n-1)+6
a(1)=7 a(n)=a(n-1)+6
7, 13, 19, 25, 31
a(1)=30 a(n)=a(n-1)-9
a(1)=30 a(n)=a(n-1)-9
30, 21, 12, 3, -6
a(1)=-4 a(n)=4a(n-1)
a(1)=-4 a(n)=4a(n-1)
-4, -16, -64, -256, -1024
a(1)=1 a(n)=-8a(n-1)
a(1)=1 a(n)=-8a(n-1)
1, -8, 64, -512, 4096
a(1)=96 a(n)=0.5a(n-1)
a(1)=96 a(n)=0.5a(n-1)
96, 48, 24, 12, 6
-4, -2, 0, 2, 4
-4, -2, 0, 2, 4
a(1)=-4 a(n)=a(n-1)+2
10, 7, 4, 1, -2
10, 7, 4, 1, -2
a(1)=10 a(n)=a(n-1)-3
3, 6, 12, 24, 48
3, 6, 12, 24, 48
a(1)=3 a(n)=2a(n-1)
-2, 10, -50, 250, -1250
-2, 10, -50, 250, -1250
a(1)=-2 a(n)=-5a(n-1)
80, 40, 20, 10, 5
80, 40, 20, 10, 5
a(1)=80 a(n)=1/2a(n-1)
-7, -4, -1, 2, 5
-7, -4, -1, 2, 5
a(n)=-7+(n-1)(-3)
5, 1, -3, -7, -11
5, 1, -3, -7, -11
a(n)=5+(n-1)(-4)
19, 28, 37, 46, 55
19, 28, 37, 46, 55
a(n)=19+(n-1)(9)
-6, -1, 4, 9, 14
-6, -1, 4, 9, 14
a(n)=-6+(n-1)(5)
8, 2, -4, -10, -16
8, 2, -4, -10, -16
a(n)=8+(n-1)(-6)
-7, -4, -1, 2, 5
-7, -4, -1, 2, 5
80
5, 1, -3, -7, -11
5, 1, -3, -7, -11
-121
19, 28, 37, 46, 55
19, 28, 37, 46, 55
280
-6, -1, 4, 9, 14
-6, -1, 4, 9, 14
139
8, 2, -4, -10, -16
8, 2, -4, -10, -16
-166
5, 5/4, 5/16, 5/64 Write the explicit formula
5, 5/4, 5/16, 5/64 Write the explicit formula
a(n)=5*(1/4)^(n-1)

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