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Number Theory Level 3

solve this problem -

6 , 25 , 62 , 123 , 214 , ? , 510

what will replace the "?"


The answer is 341.

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Palash Som by Palash Som , 21, India

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3 solutions

Palash Som
Oct 18, 2014

the series is as follows

(2^3-2) , (3^3-2) , (4^3-2) , (5^3-2) , (6^3-2) , (7^3-2) , (8^3-2)

therefore answer is 341

5 Helpful 0 Interesting 0 Brilliant 0 Confused

Thats ri8

Mithun Arya - 6 years, 7 months ago

25-6=19 ,62-25=37, 123-62=61, 214-123=91. now see the series of differences. i.e 19, 37, 61, 91. 37-19=18=(6x3),61-37=24=(6x4),91-61=30=(6x5),so next difference will be 36.add it to 91=127. so, x-214=127. x=341

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Thats a really creative view

Aarabdh Tiwari - 6 years, 5 months ago
Omar Essebaai
Oct 20, 2014

25-6=19,62-25=37,123-62=61,214-123=91 now: 25-19=18=6 3,61-37=24=6 4,91-61=30=6 5 we can suppose that x -214=y=6 6+91=127, then x=341 vérification : 510-341=169-127=42=6*7

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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