SOLUTION: determine the common ratio of a geometric sequence whose first term is 2 and whose fourth term is 16?

Question 126680: determine the common ratio of a geometric sequence whose first term is 2 and whose fourth term is 16?

Answer by praseenakos@yahoo.com(507) (Show Source): You can put this solution on YOUR website!
Question:
determine the common ratio of a geometric sequence whose first term is 2 and whose fourth term is 16?

Answer,
The nth term of a geometric series is given by the formula,
n th term = , where r is the common ratio and a is the first term.

So, fourth term =

here first term is given as 2and fourth term is 16.

so, 16 =

divide both sides by 2

==> 16/3 =

==> 8 =

==>

==>

That is common ratio is 2.

Hope you found the explanation useful.

Regards.

Praseena.

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