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]