Question 877326: Find the sixth term of the sequence
2, 6, 12, 20, 30,...
Found 2 solutions by AnlytcPhil, josgarithmetic:
Answer by AnlytcPhil(1806)   (Show Source):
You can put this solution on YOUR website!
2, 6, 12, 20, 30,...
2 = 1×2
6 = 2×3
12 = 3×4
20 = 4×5
30 = 5×6
So the next term is 6×7 = 42.
The nth term is
an = n(n+1)
Edwin
Answer by josgarithmetic(39618)  (Show Source):
You can put this solution on YOUR website! A clear relationship is happening over the differences between successive terms.
These are those differences, as a list: 4, 6, 8, 10,...
The next difference should be 12. This will be the term 30+12=42.
The next difference should be 14. This will give the term 42+14=56.
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