'Believed' in the Bible

And Jesus said unto the centurion, Go thy way; and as thou hast believed, so be it done unto thee. And his servant was healed in the selfsame hour.

The baptism of John, whence was it? of heaven or of men? And they reasoned among themselves, saying, If we should say, Of heaven, he will say to us, Why then have ye not believed him?

For John came unto you in the way of righteousness, and ye believed him not: but the publicans and the harlots believed him: and ye, when ye had seen it, repented not afterward, that ye might believe him.