Joh 20:31 But these are written, that ye might believe that Jesus is the Christ, the Son of God; and that believing ye might have life through his name.

The theme of John's gospel runs strong in Chapter 11.

 

Joh 20:29  Jesus saith unto him, Thomas, because thou hast seen me, thou hast believed: blessed are they that have not seen, and yet have believed.

Joh 20:31  But these are written, that ye might believe that Jesus is the Christ, the Son of God; and that believing ye might have life through his name.

Though the miracles were sufficient of good work in themselves one can clearly see their purpose in these verses.

Joh 11:47    Then gathered the chief priests and the Pharisees a council, and said, What do we? for this man doeth many miracles.

Joh 11:48    If we let him thus alone, all men will believe on him: and the Romans shall come and take away both our place and nation.

Joh 11:49    And one of them, named Caiaphas, being the high priest that same year, said unto them, Ye know nothing at all,

Joh 11:50    Nor consider that it is expedient for us, that one man should die for the people, and that the whole nation perish not.

Joh 11:51    And this spake he not of himself: but being high priest that year, he prophesied that Jesus should die for that nation;

Joh 11:52    And not for that nation only, but that also he should gather together in one the children of God that were scattered abroad.

Joh 10:42  And many believed on him there.

Joh 11:15  And I am glad for your sakes that I was not there, to the intent ye may believe; nevertheless let us go unto him.

Joh 11:25  Jesus said unto her, I am the resurrection, and the life: he that believeth in me, though he were dead, yet shall he live:

Joh 11:26  And whosoever liveth and believeth in me shall never die. Believest thou this?

Joh 11:27  She saith unto him, Yea, Lord: I believe that thou art the Christ, the Son of God, which should come into the world.

Joh 11:40  Jesus saith unto her, Said I not unto thee, that, if thou wouldest believe, thou shouldest see the glory of God?

Joh 11:42  And I knew that thou hearest me always: but because of the people which stand by I said it, that they maybelieve that thou hast sent me.

Joh 11:45  Then many of the Jews which came to Mary, and had seen the things which Jesus did, believed on him.

Joh 11:48  If we let him thus alone, all men will believe on him: and the Romans shall come and take away both our place and nation.

Joh 12:11  Because that by reason of him many of the Jews went away, and believed on Jesus.