Answer:
TV=6 inch
Step-by-step explanation:
If Triangle JKL is similar to Triangle TUV, the following ratio applies.
The definition of the nth term are h(n) = 4n - 2 and h(n) =2 *3^(n -1)
<h3>How to determine the arithmetic sequence?</h3>
The given parameters are:
h(1) = 2
h(2) = 6
Calculate the common difference using:
d = h(2) - h(1)
This gives
d = 6 -2
d = 4
The definition of the nth term is then calculated as:
h(n) =h(1) + (n -1) d
This gives
h(n) = 2 + (n - 1) * 4
h(n) = 2 + 4n - 4
Evaluate
h(n) = 4n - 2
Hence, the definition of the nth term is h(n) = 4n - 2
<h3>How to determine the geometric sequence?</h3>
The given parameters are:
h(1) = 2
h(2) = 6
Calculate the common ratio using:
r = h(2)/h(1)
This gives
r = 6/2
d = 3
The definition of the nth term is then calculated as:
h(n) =h(1) *r^(n -1)
This gives
h(n) =2 *3^(n -1)
Hence, the definition of the nth term is h(n) =2 *3^(n -1)
Read more about sequence at:
brainly.com/question/6561461
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Answer:
In mathematics, a set is closed under an operation if performing that operation on members of the set always produces a member of that set. For example, the positive integers are closed under addition, but not under subtraction: 1 − 2 is not a positive integer even though both 1 and 2 are positive integers.
Step-by-step explanation:
I hope this helps you out.
