The difference between Continued and Continuous

When used as adjectives, continued means prolonged, whereas continuous means without stopping.

Continued is also noun with the meaning: the word continued when placed in the end of the page to show it is to be continued.

check bellow for the other definitions of Continued and Continuous

Continued as a noun:

the word continued when placed in the end of the page to show it is to be continued

Continuous as an adjective:

Without stopping; without a break, cessation, or interruption

Examples:

"synonyms: nonstop"

"a continuous current of electricity"
Continuous as an adjective:

Without intervening space; continued

Examples:

"synonyms: protracted extended"

"a continuous line of railroad"
Continuous as an adjective (botany):

Not deviating or varying from uniformity; not interrupted; not joined or articulated.
Continuous as an adjective (analysis, of a [[function]]):

Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D.
Continuous as an adjective (mathematics, more generally, of a function between two [[topological space]]s):

Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function).

Examples:

"Each continuous function from the real line to the rationals is constant, since the rationals are totally disconnected."
Continuous as an adjective (grammar):

Expressing an ongoing action or state.