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
===============
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:
21.4
Step-by-step explanation:
We can solve for x using trigonometry
Here are the <u>Trigonometric Ratios</u>
Remember SOH CAH TOA
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse
Tangent = Opposite over Adjacent
We are given the measure of ∠T ( 72° )
We are also given the adjacent side length (6.6) ( Adjacent = the side length that is not the hypotenuse nor the opposite side length )
And we need to find the hypotenuse ( longest side length )
We this information we can use the trigonometric ratio Cosine to solve for x
That being said we want to set up an equation
(remember cosine = adjacent over hypotenuse )

Now we solve for x
We can't get rid of the 6.6 itself so we want to multiply each side by x
now we have 
Step 2 divide each side by cos(72)

We're left with x = 21.35804865
Finally we want to round to the nearest tenth of a foot and we get that x = 21.4
Answer:246.475
Step-by-step explanation:
79+167+19/40
Answer:
1. m=2x b=1 2. m=5/8x b= -1 3. m=7/8x b= -3/4 4. m=3/4x b=4
Step-by-step explanation:
First off, consecutive integer and can be written as n, n+1 and n+2
(try putting a number in for n if it does not make sense yet)
The sum of the first and twice the second would be n+2(n+1)
So, our equation becomes
n+2(n+1)=110-3(n+2)
n+2n+2=110-3n-6
3n+2=104
6n=102
n=17
so, our three term are 17,18 and 19