If your question is whether the proportion of correct answers depends on which sequence they come from, and the order or sequencing is irrelevant let's just call sequence "condition" then an appropriate test here is a chi-square test. If you have R installed sample code is below. I've named your conditions A and B.
dat <- matrix( c(numCorrectA, numWrongA, numCorrectB, numWrongB), ncol = 2 )
chisq.test(dat)
The component "numCorrectA, numWrongA, numCorrectB, numWrongB" should be replaced with the actual number of correct and incorrect items in conditions A and B.
Please Google chi-square test and read the wikipedia page for requirements, meaning, etc. before using the test. For example, you should make sure none of the numbers you're entering above is less than 5. In addition, it's a rather weak statistical evaluation from a theoretical standpoint should the sequences be very long. Trivial differences in them will come out as passing the test. Also, the individual samples should be independent. If they are not then update your questionsquestion with more details of what exactly is the design of the study. It's possible that a comparison of confidence intervals from the binomial approximation to normal is best. Or, perhaps you need a McNemar's test or a multi-level logistic regression. or something else. It's too hard to tell from what you've provedprovided what the best answer is.