Question

Use differences to find a pattern in the sequence.

7, 17, 30, 51, 85, 137, 212
Assuming that the pattern continues, the eighth term should be

Answer 1

451

Explanation:

7, 17, 30, 51, 85, 137, 212

Differences between Difference between Difference between

numbers in sequence first differences second differences

17 - 7 = 10

30 - 17 = 13 3

51 - 30 = 21 8 5

85 - 51 = 34 13 5

137 - 85 = 52 18 5

212 - 137 = 75 23 5

75 + 28 = 103

212 + 103 = 315 28 5

103 + 33 = 136

315 + 136 = 451 33 5