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Home Q & A Board Science-Related Homework Help Mathematics
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FergA FergA
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9 years ago
The population of Math Island was 42 in 2003. You find that the population grows at a rate of
about 1.3% each year for the next decade.
a. Write the recursive equations that represent the population of Math Island n years after 2002.
(Hint: Let a1 = 42)
b. Find the first five terms of the sequence of populations of Math Island since 2003.
c. Is this sequence arithmetic, geometric, or neither? Why?
d. Write a function that models the population of Math Island during this decade, in explicit form.
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#1
Valued Member
On Hiatus
9 years ago
a) an=an-1*1,013   and a1=42

b) a1=42
 a2=42*1,013=42.546
a3= a2*1,013=43.099098
a4=a3*1,013=43.659386274
a5= a4*1,013=44.226958295562

Of course, as you may have thought, population must be integer. I'm not sure wether the exercise needs the terms to be rounded to be integers, or just leave them as they are. I hope you will know what to do.

c) Since each term is equal to the previous multiplied by a number, it seems to be geometric sequence.

d) The function is f(x)= 42*(1,013)x

(edit: I corrected some mistakes I made)
FergA Author
wrote...
#2
9 years ago
Thanks so much!!
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