Given:
The table for a geometric sequence.
To find:
The formula for the given sequence and the 10th term of the sequence.
Solution:
In the given geometric sequence, the first term is 1120 and the common ratio is:
The nth term of a geometric sequence is:
Where a is the first term and r is the common ratio.
Putting , we get
Therefore, the required formula for the given sequence is .
We need to find the 10th term of the given sequence. So, substituting in the above formula.
Therefore, the 10th term of the given sequence is 2.1875.