1, you are taking away 5, 4, 3, 2, 1
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its +2, +2, -1... so the next is 10
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!
The sequence n plus 3 can be represented as 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ... The 10th term of this sequence can be found by substituting n = 10 into the formula, which gives us 10 + 3 = 13. Therefore, the 10th term of the sequence is 13.
The Fourth Triangular Number is 10.
9+1=10, 8+2=10, 7+3=10, 6+4=10