Mathematics, 11.10.2020 06:01 isaiahmichel93081

Describe and explain the difference between explicit formulas for arithmetic sequences and explicit formulas for geometric sequences.

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Answer from: raulramirez01

Arithmetic sequence: $a_{n}=a_{1}+(n-1)d$

Geometric sequence: $a_{n}=a_{1}(r)^{n-1}$

Step-by-step explanation:

The arithmetic sequence: is the sequence whos terms increased or decreased by a constant amount.

Examples:

4, 7, 10, 13, 16, ........................ (increased by 3)25, 20, 15, 10, ......................... (Decreased by 5)

The explicit formula for the nth term of the arithmetic sequence is:

$a_{n}=a_{1}+(n-1)d$ $a_{1}$ is the first termd is the constant difference between each two consecutive termsn is the position of the number in the sequence

The geometric sequence: is the sequence whos consecutive terms have a constant ratio

Examples:

1, 2, 4, 8, 16, ........................ (Multiplying by 2)625, 125, 25, 5, ......................... (Dividing by 5)

The explicit formula for the nth term of the geometric sequence is:

$a_{n}=a_{1}(r)^{n-1}$ $a_{1}$ is the first termr is the constant ratio between each two consecutive termsn is the position of the number in the sequence

* Arithmetic sequence →→→→→→ Geometric sequence

Has a constant difference →→→→→→ Has a constant ratio

$a_{n}=a_{1}+(n-1)d$ →→→→→→ $a_{n}=a_{1}(r)^{n-1}$

$d=a_{n}-a_{n-1}$ →→→→→→ $r=\frac{a_{n}}{a_{n-1} }$

Answer from: Quest

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

Answer from: Quest

Idon’t know i’m in the same boat

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Describe and explain the difference between explicit formulas for arithmetic sequences and explicit...