Kayla and Camille, both teachers, are adding books to their class libraries. Kayla’s classroom started out with a collection of
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Given:
The sequence is:
To find:
The 6th term of the given sequence.
Solution:
We have,
Here, the first term is:
The ratio between consecutive terms are:
The given sequence has a common ratio 5. So, the given sequence is a geometric sequence.
The nth term of a geometric sequence is:
Where, a is the first term and r is the common ratio.
Substitute to get the 6th term.
Therefore, the 6th term of the given sequence is 50000.