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[/img]

[size=150]Earlier, we learned that the [math]n^{th}[/math] term of a geometric sequence with an initial value of [math]a[/math] and a common ratio of [math]r[/math] is [math]a(r^{n-1})[/math].[br][br]For a Koch Snowflake, it turns out that we can find the number of triangles added on at each iteration by having [math]a=3[/math] and [math]r=4[/math]. The sum [math]s[/math] of the first [math]n[/math] terms in this geometric sequence tell us how many triangles total make up the [math]n^{th}[/math] iteration of the snowflake[br][br][math]s=3+3(4)+3(4^2)+...+3(4^{n-1})[/math][br][br]More generally, the sum of the first  terms of any geometric sequence can be expressed as[br][br][math]s=a+a(r)+a(r^2)+...+a(r^{n-1})[/math][br][br]or [br][/size][br][math]s=a(1+r+r^2+...+r^{n-1})[/math][br][br]What would happen if we multiplied each side of this equation by [math](1-r)[/math]? (hint: [math](x-1)(x^3+x^2+x+1)=x^4-1[/math].)[br]

Rewrite the new equation in the form of [math]s=[/math].

Use this new formula to calculate how many triangles after the original are in the first 5, 10, and 15 iterations of the Koch Snowflake.[br]

[size=150]Han is prescribed a course of antibiotics for an infection. He is told to take a 150 mg dose of the antibiotic regularly every 12 hours for 15 days. Han is curious about the antibiotic and learns that at the end of the 12 hours, only 5% of the dose is still in his body.[/size][br][br]How much of the antibiotic is in the body right after the first, second, and third doses?[br]

When will the total amount of the antibiotic in Han be highest over the course of the 15 day treatment? Explain your reasoning.[br]

The formula for the sum [math]s[/math] of the first [math]n[/math] terms in a geometric sequence is given by [math]s=a\left(\frac{1-r^n}{1-r}\right)[/math], where [math]a[/math] is the initial value and [math]r[/math] is the common ratio.[br][br]A drug is prescribed for a patient to take 120 mg every 12 hours for 8 days. After 12 hours, 6% of this drug is still in the body. How much of the drug is in the body after the last dose?

[size=150]The formula for the sum [math]s[/math] of the first [math]n[/math] terms in a geometric sequence is given by [math]s=a\left(\frac{1-r^n}{1-r}\right)[/math], where a is the initial value and r is the common ratio. If a sequence has [math]a=10[/math] and [math]r=0.25[/math],[/size][br][br]What are the first 4 terms of the sequence?[br]

What is the sum of the first 17 terms of the sequence?[br]

[size=150]Jada drinks a cup of tea every morning at 8:00 a.m. for 14 days. There is 40 mg of caffeine in each cup of tea she drinks. 24 hours after she drinks the tea, only 6% of the caffeine is still in her body.[br][/size][br]How much caffeine is in her body right after drinking the tea on the first, second, and third day?[br]

When will the total amount of caffeine in Jada be the highest during the 14 days? Explain your reasoning.[br]

Select [b]all[/b] polynomials that have [math](x+1)[/math] as a factor.

[size=100]A car begins its drive in heavy traffic and then continues on the highway without traffic. The average cost (in dollars) of the gas this car uses per mile for driving [math]x[/math] miles is [math]c(x)=\frac{0.65+0.15x}{x}[/math]. As [math]x[/math] gets larger and larger, what does the end behavior of the function tell you about the situation?[/size]

[size=150]Write a rational equation that cannot have a solution at [math]x=2[/math].[/size]

[size=150]For [math]x[/math]-values of 0 and -1, [math](x+1)^3=x^3+1[/math]. Does this mean the equation is an identity? Explain your reasoning.[/size]