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.
It would b 9 x (-3^(x-1))
Answer:
the answerr is 4
Step-by-step explanation:
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Answer:
29
Step-by-step explanation:
In this question we are trying to calculate the cost of exact amount of fabric used given the cost per area of the fabric.
To answer this question mathematically, we need to know the area of the bulletin board. To do this , we employ a mathematical approach. We know that the bulletin board is circular in shape from the question and thus we calculate the area of this shape.
Mathematically, the area of the circular bulletin board is pi * r^2 where r refers to the radius. From the question, we can identify that this radius is 2.5 feet. let’s insert this into the equation we have.
mathematically A = 2.5^2 * pi = 19.63 sq. feet
The cost of the fabric per square feet is 1.48.
now the cost for this area that we have will be 1.48 * 19.63 = 29.0524
This is nearest to 29