Answer:
10th term of the sequence = 0.537
Step-by-step explanation:
First three terms of the sequence are → 5, 4, ..........
Ratio of 2nd and 1st term of the sequence =
Ratio of 3rd and 2nd term of the sequence =
=
Therefore, ratio between every successive term to the previous term is common.
Common ratio 'r' =
First term of the sequence 'a' = 5
nth term of a geometric sequence =
Therefore, nth term of the given term will be
Now we have to find the 10 term of the given sequence.
For n = 10,
= 0.53687
≈ 0.537
Therefore, 10th term of the sequence is 0.537