Santos flipped a coin 300 times. The coin landed heads up 175 times. Find the ratio of heads to total number of coin flips. Expr
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Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering the initial population and the population one week later, the rate of growth is given by:
k = 9/6 = 1.5.
The standard differential equation for population growth is:
Hence:
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Answer:
see explanation
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
8 - 6 = 10 - 8 = 2
This indicates that the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 6 and d = 2, thus
= 6 + 2(n - 1) = 6 + 2n - 2 = 2n + 4 ← explicit formula
Hence
= (2 × 130) + 4 = 260 + 4 = 264