Series #1

Level 2

12, 36, 80, 150, 252, ?

268 300 392 412

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2 solutions

Marta Reece
May 30, 2018

Original sequence: 12, 36, 150, 252

Differences between terms: 24, 44, 70, 102

Differences between these terms: 20, 26, 32

Differences between these: 6, 6

Now work backwards assuming the next one in the sequence above is also a 6.

6, 6, 6

20, 26, 32, 38

24, 44, 70, 102, 140

12, 36, 150, 252, 392

I got the second sequence but haven't think about next

Akanksh Tiwari - 2 years, 12 months ago
Terza Reyhan
May 27, 2015

12, 36, 80, 150, 252, X

12 = 2^3 + 2^2 ; 36 = 3^3 + 3^2 ; ... ; X = 7^3 + 7^2 = (7^2)*8 = 392

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