The next number of the sequence 3, 5, 9, 17, 33 …. is :

65
$latex 3\xrightarrow{+2}5\xrightarrow{+4=2^{2}}9\xrightarrow{+8 = 2^{3}}17\xrightarrow{+16= 2^{4}}33\xrightarrow{+32 = 2^{5}}\underline{65}&s=1$
∴ The next term in the sequence will be 65.
Hence option [C] is the right answer.