Give the first six terms of the following sequences. 1)g_1=2 and

Reese Munoz

Reese Munoz

Answered question

2022-01-23

Give the first six terms of the following sequences.
1)g1=2 and g2=1
2)c1=4,c2=5 and cn=cn1×cn2 for n3
3)b1=1,b2=3 and bn=bn1bn2 for n3
4)d1=1,d2=1 and dn=(dn1)2+dn2 for n3

Answer & Explanation

utgyrnr0

utgyrnr0

Beginner2022-01-24Added 11 answers

Given
1)g1=2 and g2=1, gn=ngn1+9n2
g3=3g2+g1=3×1+2=5
g4=4g3+g2=4×5+1=21
g5=5g4+g3=5×21+5=110
g6=6g5+g4=6×110+21=660+21=681
so first six terms are: 2,1,5,21,110,681
2)c1=4,c2=5 and cn=cn1×cn2 for n3
c3=c2×c1=5×4=20
c4=c3×c2=20×5=100
c5=c4×c3=100×20=2000
c6=c5×c4=2000×100=200000
Thus, the first six terms are: 4,5,20,100,2000,200000
Eleanor Shaffer

Eleanor Shaffer

Beginner2022-01-25Added 16 answers

3)b1=1,b2=3 and bn=bn1bn2 for n3
b3=b27b1=37=4
b4=b37b2=421=25
b5=b47b3=25+28=3
b6=b57b4=3+175=178
4)d1=1,d2=1 and dn=(dn1)2+d0n2 for n3
d3=(d2)2+d1=12+1=2
d4=(d3)2+d2=22+1=5
d5=(d4)2+d3=52+2=27
d6=(d5)2+d4=272+5=734

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