1, 7, 49, 343, …
- Each term in the sequence above after the first one is determined by multiplying the previous term by 7. What will be the units (ones) digit of the 96th term?
Answer and explanation below:
Usually, when the SAT asks you to find something like the 96th term, they’re really asking you to recognize the pattern that exists in all the terms. Fill the sequence in a little more and the pattern should reveal itself:
See it? The units digits follow a very simple pattern: 1, 7, 9, 3, 1, 7, 9, 3, etc.
So now all you need to do is figure out the 96th term. Every 4th term is 3, and 96 is evenly divisible by 4, so the 96th term has to be 3!
(D) is your answer.