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Alborosie
3 years ago
13

Describe when to use a series and when to use an equation.

Mathematics
1 answer:
Genrish500 [490]3 years ago
3 0

Answer:

A series is used only for n taking the values of natural numbers

But a function or an equation is used for all real values of x.  It is not necessary that x should be a natural number.

Step-by-step explanation:

The equation is used when domain is all real values

f(x) = 3x+5 is valid for all x real.  x can take values as irrational also, negative or fractions.

But in a series, such as 2+3n, we have the restriction for domain n as only the set of all natural numbers

Here n cannot take negative or 0 or fractions or irrational numbers.

Thus the domain is the one which makes the difference of using an equation and a series.

A series  is used only for n taking the values of natural numbers

But a function or an equation is used for all real values of x.  It is not necessary that x should be a natural number.

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The sequence above is geometric progression. 
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Tn = ar∧(n-1),
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So, 1st term = 5×1.25∧(1-1) = 5×1.25∧0 =5 
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