Reduce any fractions to lowest terms. Don’t round your answer , and don’t use mixed fractions.
1 answer:
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Answer:
for n = 1, 2, . . . , 20.
Step-by-step explanation:
This is an arithmetic sequence, because the population is said to increase by 4 animals yearly. The formula for the nth term in an arithmetic sequence is given by:
where
is the nth term, [/tex]a_1[/tex] is the first term, n = 1, 2, . . . and d is the common difference.
Since they are currently 17, this implies that the first number in the population sequence will be 17. In order words, the first term is 17.
Since they increase by 4 yearly, then the common difference is 4.
Since it's for 20years, the n = 1, 2, . . ., 20. The explicit formula is therefore:
for n = 1, 2, . . . , 20.
Given that
the inverse is such that
or
Differentiating both sides using the chain rule gives
Then the derivative of <em>f</em> at 2 is