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.
Answer:
The answer is 19.10 $
Step-by-step explanation:
Answer:
x=13
Step-by-step explanation:
First, you add the x's together: 2x+x=3x
Now you have:3x-1=38
Add 1 to both sides: 3x=39
1 cancel on the left side of the equation
Divide 3 on both sides: x=39/3
3 cancels on the left side and 39 divided by 3 is 13:
x=13
Hope this helps!
Answer: (2,2), (4,2)
First, I subtracted 2y from both sides of the second equation. Then, I substituted -2y+6 in for x in the first equation (-2y+6)²+4y²=20. Then, I expanded 4y²-24y+16+4y²=20. Next, I combined like terms, and moved everything to one side 8y²-24y+16=0. Then, I factored out an 8, and then finished factoring 8(y-2)(y-1). This gives me my y-values, y=1,2. Next, I inserted each y-value into the second equation and got x=-2(1)+6 ---> x=4 (The first solution is (4,1). ) and x=-2(2)+6----->x=2 (The second solution is (2,2).
An explicit formula<span> designates the n</span>th<span> term of the </span>sequence<span>, as an expression of n (where n = the term's location). It defines the </span>sequence<span> as a </span>formula<span> in terms of n.</span>