Question

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

Answer 1

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.

Answer 2

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.