Technique as amberhill423 said is the very special way that something is done. Logy means systematic study : so technology means a study of techniques. American English always uses program The word “program” was predominant in the UK until the 19th century, when “programme” became more common as a result of influence from French, which has the same word “programme”.

Program and programme are the same. Program is used in America and programme is used in England. Technology can refer to electronic and digital products or the use of science to make products, technique is the way you do something. For example: We don't have the technology to achieve that task. Technology is increasing. He uses an interesting technique. I like your cooking technique.