Question

Use differences to fins a pattern in the sequence 0,12,72,240,598,1250,2322

Assuming that the pattern continues, the eighth term should be ?

Answer 1

8th term is 3980.

Explanation:

0 12 72 240 598 1250 2322

Differences in successive terms

are:

12 60 168 358 652 1072

48 108 190 294 420

60 82 104 126

22 22 22

So calculating the 8th term , working from the last line to the first:

126 + 22 = 148

148 + 420 = 568

1072 + 568 = 1658

Finally the 8th number = 2322 + 1658 = 3980