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Vlad1618 [11]
3 years ago
12

The population of a colony of beetles grows 30% each week. If the initial population is 65 beetles, how many beetles will be the

re after 5 weeks
Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0
This is question of geometric sequence, equation of growth for this matter. The explicit formula for geometric sequence is given by:

a(n) = a(0)r^(n-1)

where;
a(n) = population after time "n"
a(0) = Initial population = 65
n = time = 5 weeks
r = common ratio = (100+30)% = 1.3

Substituting, beetles after 5 weeks will be;
a(5) = 65*1.3^(5-1) = 185.65 ≈ 186 beetles
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