Question

3, 9, 81, 243 . . . is an example of an infinite arithmetic series.. True or false?

Answer 1

The statement “3, 9, 81, 243 is an example of an infinite arithmetic series” is FALSE. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

Answer 2

Answer: The answer is False.

Step-by-step explanation: In an arithmetic series with first term $a$ and common difference $d$, the n-th term is given by

$a+(n-1)d.$

The given sequence is - 3, 9, 27, 81, 243, ...

Here, $a=3$ we cannot find the value of $d$, 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.