Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
The numbers don’t increase by a constant amount, so this is not an arithmetic sequence.
It appears to be a <em>geometric sequence</em>.
The <em>general formula</em> for each term in a geometric sequence is
aₙ = a₁rⁿ⁻¹
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Calculate the value of r
You can calculate the r-value by dividing any two consecutive terms in the sequence.
rₙ = aₙ/aₙ₋₁
a₂/a₁ = 4.5/3 = 1.5
a₃/a₂ = 6.75/4.5 = 1.5
a₄/a₃ = 10.125/6.75 = 1.5
a₅/a₄ = 15.1875/10.125 = 1.5
r = 1.5
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Determine the formula for the nth term
a₁ = 3; r = 1.5 Substitute the values
aₙ = 3(1.5)ⁿ⁻¹ Write the equation as a function of x
Answer:
m(n) = 60000
Amount = 60000/n
Step-by-step explanation:
Given
Budget = 60000
Solving (a) Represent as a function mn
To do this simple substitute m(n) for Budget.
This gives;
m(n) = 60000
Solving (b) Amount each committee will receive.
Since the amount will be shared evenly.
Amount = m(n)/n
Substitute 60000 for m(n)
Amount = 60000/n
I didn't round by the answer would be 115.575042 miles per second.
<h3>
Answer: sin(2x)</h3>
In other words, you'll type "sin" without quotes in the green box.
Also, you'll type "2" in the gray box, which also won't have quotes.
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Explanation:
We'll use the first hint. Note the pattern of sin cos +- cos sin which matches (somewhat) with the original expression.
Specifically, we'll use this identity
sin(A - B) = sin(A)cos(B) - cos(A)sin(B)
In this case, A = 3x and B = x
So,
sin(A - B) = sin(A)cos(B) - cos(A)sin(B)
sin(A)cos(B) - cos(A)sin(B) = sin(A - B)
sin(3x)cos(x) - cos(3x)sin(x) = sin(3x - x)
sin(3x)cos(x) - cos(3x)sin(x) = sin(2x)