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!
4 5 6 7 8 9 10 11 12 13
The Fourth Triangular Number is 10.
9+1=10, 8+2=10, 7+3=10, 6+4=10
next in the sequence: 10,20,30,20
10
5
5
10
22
15
5+5 = 10 10+5 = 15 15-5 = 15 10+5 = 15
The next number in the sequence is 480
The next number in the sequence is 27.
8
10