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gogolik [260]
3 years ago
15

Write a recursive and explicit rule for each geometric sequence, and then find the next 3 terms.

Mathematics
1 answer:
Murljashka [212]3 years ago
6 0
Hello,

1)
a_{0}=2
a_{1}=a_{0}*4=8
a_{2}=a_{1}*4=a_{0}*4^2=32
a_{3}=a_{2}*4=a_{0}*4^3=128
a_{4}=a_{3}*4=a_{0}*4^4=512
a_{5}=a_{4}*4=a_{0}*4^5=2048
...
a_{n+1}=a_{n}*4=a_{0}*4^{n+1}


2)
a_{0}=1024
a_{1}=a_{0}*0.5=512
a_{2}=a_{1}*0.5=a_{0}*0.5^{2}=256
a_{3}=a_{2}*0.5=a_{0}*0.5^{3}=128
a_{4}=a_{3}*0.5=a_{0}*0.5^{4}=64
a_{5}=a_{4}*0.5=a_{0}*0.5^{5}=32
....
a_{n+1}=a_{n}*0.5=a_{0}*0.5^{n+1}

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