'Believed' in the Bible

And Jesus said to the centurion, Go, and as thou hast believed, be it to thee. And his servant was healed in that 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 to you in the way of righteousness, and ye believed him not; but the tax-gatherers and the harlots believed him; but ye when ye saw it repented not yourselves afterwards to believe him.