Simplify 4(5x - 6) - 4(2x + 1) 12x - 5 12x - 20 12x - 28
2 answers:
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The explicit formula for the sequence is 3n -10
<h3>What is an Arithmetic Sequence ?</h3>An arithmetic sequence is a series of terms which have common difference between its consecutive numbers.
The sequence given is
−7, −4, −1, 2, 5, …
The common difference between each term is d =3
-4-(-7) = 3
-1-(-4) =3
The nth term for a sequence is given by
Here a is the first term = -7
n is the no. of terms = n
d is the common difference = 3
Therefore the equation will be
= -7 +3n -3
= 3n -10
Therefore the explicit formula for the sequence is 3n -10 .
To know more about Arithmetic Sequence
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The zip line forms a right triangle with the tree, when elevated
The height of the tree is 35 meters
<h3>How to calculate the height of the tree</h3>Represent the height of the tree with h.
So, the height h is calculated using the following sine function
Make h the subject
h = 200 * sin(10)
Evaluate the product
h = 35 meters
Hence, the height of the tree is 35 meters
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