contestada

Zhang lei tracked the size of the bear population in a nature reserve. The first year, there were 1000 bears. Sadly, the population lost 10% of its size each year. Let f(n) be the number of bears in the reserve in the nth year since Zhang lei started tracking it. f is a sequence. What kind? f(1)= f(n)= f(n-1) */+ ____

Respuesta :

Poltergeist

Answer:

A geometric sequence

Step-by-step explanation:

A geometric sequence is a sequence one in which each next term is found by multiplying the previous term by a constant.

In our case, we are facing a 10% population loss every year, which means to find the bear population next year when have to multiply the population of the previous year by 0.9; thus, we a multiplying the previous term by a constant to get the next term: this is a geometric sequence.

The first term [tex]f(1)[/tex] of this geometric series is the bear population in the first year, which is 1000; thus,

[tex]f(1)=1000[/tex]

and for the nth term [tex]f(n)[/tex]:

[tex]f(n)=f(n-1)*0.9[/tex].

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