mehrere
several
Describes an indefinite number of people or things that is greater than two but not a very large amount; some.
Bei dem Unfall wurden mehrere Autos beschädigt.
Several cars were damaged in the accident.

several
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several
Describes an indefinite number of people or things that is greater than two but not a very large amount; some.
Bei dem Unfall wurden mehrere Autos beschädigt.
Several cars were damaged in the accident.

The word 'mehrere' (several) is used exclusively with plural nouns. There is no singular form.
Mehrere Kinder spielen auf dem Spielplatz.
Several children are playing on the playground.
'Mehrere' (several) is declined like an adjective in the plural. The ending adapts to the case of the noun it accompanies.
Mehrere Zeugen haben den Vorfall beobachtet. (Nominativ)
Several witnesses observed the incident. (Nominative)
'Mehrere' (several) can also stand alone and replace a noun when it is clear from the context what it refers to. In this case, it is capitalized if it appears at the beginning of a sentence.
Nicht alle waren einverstanden, aber mehrere stimmten zu.
Not everyone agreed, but several agreed.
more
'mehr' and 'mehrer' can be confused because they look similar and both have to do with quantity. 'mehr' compares an amount: it means that the amount is larger than before or larger than another amount. 'mehrere' is the normal form of 'mehrer' in use and means an unspecified number, usually more than two, but not very many. If you are comparing, use 'mehr'. If you simply mean 'some' people or things, use 'mehrere'.

Du hast mehrere Tüten eingekauft, weil die Familie am Wochenende zu Besuch kommt.
You bought several bags because the family is coming to visit on the weekend.
Kannst du mir sagen, ob wir noch mehr Geld für die Reise brauchen?
Can you tell me whether we need more money for the trip?