Amodel for the number of lobsters caught per year is based on the assumption that the number of lobsters caught in a year is the average of the number caught in the two previous years.

a) find a recurrence relation for {ln}, where ln is the number of lobsters caught in year n, under the assumption for this model.
b) find ln if 100,000 lobsters were caught in year 1 and 300,000 were caught in year 2.

(a)

(b)

Explanation:

(a) Recurrence relation for {Ln}

(b)

General solution is:

Considering initial conditions:

Solving the equations:

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answer: internal fragmentation is the difference between the (fixed) size of a memory hole and the data within in that memory. for example, if a 1,024 byte block of memory holds 800 bytes of data, then the 224 bytes difference is considered lost to internal fragmentation.

external fragmentation occurs when the sum of memory fragments is large enough to satisfy a request, but the holes are non-contiguous and the request cannot be satisfied. this can occur when memory is dynamically allocated and freed.

explanation:

is this supposed to be a question ?