3, 9, 81, 243 . . . is an example of an infinite arithmetic series.. True or false?
2 answers:
Answer: The answer is False.
Step-by-step explanation: In an arithmetic series with first term and common difference
, the n-th term is given by
The given sequence is - 3, 9, 27, 81, 243, ...
Here, we cannot find the value of
, since 9-3≠243-81.
So, the given sequence is not an arithmetic sequence. Furthermore, it is an infinite geometric sequence with first term 3 and common ration also 3.
Thus, the answer is False.
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