Die Anzeige im Terminal zeigt Ankunft und Abflug.

Because Anzeige is a feminine noun in German, so its dictionary form is die Anzeige.

In this sentence, die Anzeige is also the subject, so it stays in the nominative case:

• die Anzeige = the display / the board

Be careful: Anzeige can mean different things depending on context, such as display, sign, advertisement, or even police report/complaint. Here, in a travel setting, it means something like the display board or the information display.

Here, Anzeige means display, screen, or information board.

So in a station or airport context, die Anzeige is the thing that shows travel information, such as arrivals and departures.

It does not mean advertisement here, even though that is also a possible meaning of Anzeige in other contexts.

Im is a contraction of in dem:

• in dem → im

German uses in + dative here because it describes a location:

• im Terminal = in the terminal

So:

• in dem Terminal is grammatically correct
• im Terminal is the normal, natural form

You cannot say in Terminal here because German usually needs an article in this kind of expression.

Because it comes after the preposition in, and here in answers the question where? rather than where to?

• wo? = where? → usually dative with in
• wohin? = where to? → usually accusative with in

Here the meaning is location:

• im Terminal = in the terminal

If it meant movement into the terminal, you would use the accusative:

• in das Terminal / ins Terminal = into the terminal

Because the subject is die Anzeige, and that is singular.

The sentence structure is:

• Die Anzeige = subject
• zeigt = verb
• Ankunft und Abflug = what it shows

So the verb agrees with Anzeige, not with Ankunft und Abflug.

A rough structure is:

• The display shows arrival and departure

Even though two items are mentioned after the verb, they are not the subject.

Because they are nouns, and all nouns in German are capitalized.

• Ankunft = arrival
• Abflug = departure

This is true no matter where they appear in the sentence.

Also, both words are related to verbs:

• ankommen → Ankunft
• abfliegen → Abflug

Because the sentence is talking about them in a general sense, not as specific individual events.

So German often leaves out the article:

• zeigt Ankunft und Abflug = shows arrival and departure / arrivals and departures

If you wanted to refer to specific ones, articles could appear, depending on meaning:

• die Ankunft = the arrival
• den Abflug = the departure

But in signs, schedules, and information-board language, leaving the articles out is very common and natural.

Yes. They are the direct objects of zeigt, so they are functioning in the accusative.

In this sentence, you do not see a visible case ending because there is no article in front of them. German case is often easiest to spot on articles, not on the noun itself.

If you added articles, it would look like this:

• Die Anzeige zeigt die Ankunft und den Abflug.

That makes the accusative more obvious.

This is a normal German main-clause pattern:

• subject
  • other information + verb
    • rest

More specifically:

• Die Anzeige = subject
• im Terminal = location
• zeigt = verb
• Ankunft und Abflug = object

German main clauses usually place the finite verb in the second position. Here, the whole subject phrase comes first, so zeigt comes next.

You could also change the emphasis:

• Im Terminal zeigt die Anzeige Ankunft und Abflug.

That is also grammatical, but it sounds a bit more marked because it emphasizes the location first.

In this context, it usually means arrivals and departures in general.

German often uses singular nouns in this kind of informational or category-style language, especially on signs, boards, and labels.

So even though the words are singular in form, the meaning can be broader:

• Ankunft = arrival / arrivals
• Abflug = departure / departures

English often prefers the plural in this context, but German does not always need it.

Only if the type of travel is different.

• Abflug is used for flights and means departure by plane
• Abfahrt is used more for trains, buses, or general departures

So in an airport terminal, Abflug is the natural choice. In a train station, you would more likely see:

• Ankunft und Abfahrt

A helpful breakdown is:

• Die Anzeige = the display / board
• im Terminal = in the terminal
• zeigt = shows
• Ankunft und Abflug = arrival and departure / arrivals and departures

So the grammar is:

• subject: Die Anzeige
• prepositional phrase of location: im Terminal
• verb: zeigt
• direct object: Ankunft und Abflug

That makes it a very straightforward German sentence once you identify the subject and remember that im = in dem.