Look at these growing patterns. Find out what to add to each number to get the next one:
(a) 1, 3, 6, 10, ___, _, _, _, _
(b) 0, 2, 6, 12, _, _, _, _, _
(c) 1, 3, 7, 13, _, _, _, _, _
(d) 2, 3, 6, 11, 18, _, _, _, _, ___

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Solution

(a)
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
1, 3, 6, 10, 15, 21, 28, 36, 45.

(b)
0 + 2 = 2
2 + 4 = 6
6 + 6 = 12
12 + 8 = 20
0, 2, 6, 12, 20, 30, 42, 56, 72.

(c)
1 + 2 = 3
3 + 4 = 7
7 + 6 = 13
13 + 8 = 21
1, 3, 7, 13, 21, 31, 43, 57, 73

(d)
2 + 1 = 3
3 + 3 = 6
6 + 5 = 11
11 + 7 = 18
2, 3, 6, 11, 18, 27, 38, 51, 66, 83.

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