22 The Greek text begins with “and,” a typical Semitism. The reason given is all the provisions God has made for the believer, mentioned in vv. 3–4.
23 The participle is either means (“by making every effort”) or attendant circumstance (“make every effort”). Although it fits the normal contours of attendant circumstance participles, the semantics are different. Normally, attendant circumstance is used of an action that is a necessary prelude to the action of the main verb. But “making every effort” is what energizes the main verb here. Hence it is best taken as means. However, for the sake of smoothness the translation has rendered it as a command with the main verb translated as an infinitive. This is in accord with English idiom.
24 Or “moral excellence,” “virtue”; this is the same word used in v. 3 (“the one who has called us by his own glory and excellence”).

In other versions

ESVEnglish Standard Version

For this very reason, make every effort to supplement your faith with virtue, and virtue with knowledge,

NIVNew International Version (2011)

For this very reason, make every effort to add to your faith goodness; and to goodness, knowledge;

CSBChristian Standard Bible

For this very reason, make every effort to supplement your faith with goodness, goodness with knowledge,

NLTNew Living Translation

In view of all this, make every effort to respond to God’s promises. Supplement your faith with a generous provision of moral excellence, and moral excellence with knowledge,

LEBThe Lexham English Bible

and for this same reason, and by applying all diligence, supply with your faith excellence of character, and with excellence of character, knowledge,

KJV 1900King James Version

And beside this, giving all diligence, add to your faith virtue; and to virtue knowledge;

Public Domain