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hin3gtab8igperes
hin3gtab8igperes hin3gtab8igperes
  • 10-06-2016
  • Mathematics
Answered

Identify the sequence as arithmetic, geometric, or neither. Explain your answer.


1.6, 0.8, 0.4, 0.2, . . .

Verified Answer :

HomertheGenius
HomertheGenius HomertheGenius
  • 11-06-2016

This sequence (1.6, 0.8, 0.4, 0.2,... ) is geometric.
We have formula for any member of geometric sequence: \(a_{n} = a_{1}* q^{n-1}\) If a1=1.6 then:\(0.8=1.6*q, 0.4=1.6* q^{2}, 0.2=1.6* q^{3}\)The solution for all these equations is: q=0.5. We have: a1=1.6, q=0.5 and this is geometric sequence.

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