Hello quick question because i am dumb and dont know how to explain things just need some clarification how do you tell if a domain is continuous or discrete on a table not a graph •~•

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  The domain is always discrete when it is found from a table.

Step-by-step explanation:

A table necessarily lists a finite number of discrete points. The domain, as found from a table, is always discrete.

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If the table is said to be a representation of a continuous function, then the domain of that continuous function will be continuous.

Your question seems to have to do with a table alone, not a table and an equation, or a table and a graph. A table (of points) alone cannot express a continuous domain.

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Additional comments

One can conceive of tables that would have continuous domains, as, for example, a table with entries ...

  (x, y) = (0 ≤ x < 3, 3x+2), (3 ≤ x < 6, 4x-1), ...

Such a table is not a list of points, but is a piecewise function definition. We presume this is not what you're concerned with.

step-by-step explanation:

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, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for