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Finding the nth term is much simpler than it seems. For example, say you had the sequence:

1,4,7,10,13,16 Sequence 1

First we find the difference between the numbers.

1 (3) 4 (3) 7 (3) 10 (3) 13 (3) 16

The difference is the same: 3. So the start of are formula will be 3n.

If it was 3n, the sequence would be 3,6,9,12,15,18 Sequence 2

But this is not our sequence. Notice that each number on sequence 2 is 2 more than sequence 1. this means are final formula will be:

3n+1

Test it out, it works!

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Q: How do you find the nth term in a sequence?

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