Saturday, August 19, 2017

Pattern Recognition - 165

Find out the next two numbers in the series.
3, 11, 85, 1029, _ , _ , .............................



Answer

3,   11,   85,   1028  , _ , _ , .............................

Tn =n^(n+1) + (n+1)
T1 = 1 ^    + (1+1)
T2 = 2 ^ 3    + (2+1)
T3 = 3 ^ 4    + (3+1)
T4 = 4 ^ 5    + (4+1)

Next two numbers  
T5 = 5 ^ 6    + (5+1)   = 15625 +6   =15631
T6 = 6 ^ 7    + (6+1)   = 279936 + 7 = 279943


3,   11,   85,   1028  , 15631279943 , .............................

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