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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 ?

Respuesta :

Answer:

8th term is 3980.

Step-by-step 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

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