Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.) n an 12 + 3n 44 lim an n→ ∞o = × Calculate the first eight terms of the sequence of partial sums correct to four decimal places. 00 Σ(-1)"7η n = 1 n 1 3 2 3 Sn 3 -6 60 + 5 -9 6 9 7 -12 8 12 × × × × ×

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 22E
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Please help me with these three question. I am having a hard time understanding what to do. Thank you

1) A doctor prescribes a 400 mg antibiotic tablet to be taken every eight hours. It is known that the body eliminates 80% of the drug in eight hours.

(a)

How much of the drug is in the body just after the second tablet is taken? After the third tablet?
second tablet     mg
third tablet     mg

(b)

If Qn is the quantity of the antibiotic in the body just after the nth tablet is taken, find an equation that expresses Qn + 1 in terms of Qn.
Qn + 1 =

(c)

What quantity of the antibiotic remains in the body in the long run?
mg
 
 
Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.)
n
an
12 + 3n
44
lim an
n→ ∞o
=
×
Transcribed Image Text:Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.) n an 12 + 3n 44 lim an n→ ∞o = ×
Calculate the first eight terms of the sequence of partial sums correct to four decimal places.
00
Σ(-1)"7η
n = 1
n
1
3
2
3
Sn
3
-6
60
+
5 -9
6
9
7
-12
8
12
×
×
×
×
×
Transcribed Image Text:Calculate the first eight terms of the sequence of partial sums correct to four decimal places. 00 Σ(-1)"7η n = 1 n 1 3 2 3 Sn 3 -6 60 + 5 -9 6 9 7 -12 8 12 × × × × ×
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