Respuesta :
Answer: choice C) geometric series
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Explanation:
The sequence {5, 5/3, 5/9, 5/27, 5/81, ...} is a geometric sequence with starting term a = 5 and common ratio r = 1/3
A geometric sequence is such that each term is generated by multiplying the last term by the same common ratio to get the next term
- first term = a = 5
- second term = (first term)*(common ratio) = a*r = 5*(1/3) = 5/3
- third term = (second term)*(common ratio) = (5/3)*(1/3) = 5/9
- fourth term = (third term)*(common ratio) = (5/9)*(1/3) = 5/27
- fifth term = (fourth term)*(common ratio) = (5/27)*(1/3) = 5/81
and so on. When we add up terms in a sequence, we form a series.
Answer:
geometric series
Step-by-step explanation:
as all the terms are being added, so it is a series not a sequence. common ratio between all the terms as 1/3, if commo ratio comes out to be same after dividing 2nd term with first term or dividing third term with secoond term and so o , then the series or sequence is geometric. As terms are added and ratio between two consecutive terms is same for all i.e 1/3, so given sequence is geometric series.
it would be arithmetic series if common difference between two terms would be same.
