Jesus responded and said to them, This is the work of God, that you may believe on Him whom He hath sent.

and I am glad {for your sake} that I was not there, so that you may believe. But let us go to him."

Now I tell you before it takes place, in order that you may believe, when it may be done, that I am He.

And he (John, the eyewitness) who has seen it has testified, and his testimony is true; and he knows that he is telling the truth, so that you also [who read this] may believe.

but these have been written so that you may believe [with a deep, abiding trust] that Jesus is the Christ (the Messiah, the Anointed), the Son of God; and that by believing [and trusting in and relying on Him] you may have life in His name.

These things have I written unto you that believe on the name of the Son of God; that you may know that you have eternal life, and that you may believe on the name of the Son of God.