What number is missing from this pattern1,5,13,25,_,61,85

Question

rich19 rich19

13-10-2016
Mathematics

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What number is missing from this pattern1,5,13,25,_,61,85

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Аноним Аноним · Answer 1 · 2016-10-13T17:21:32+02:00

first number is 5.
second is 5 + (4 * 2) = 5 + 8 = 13

third is 5 + (4 * 2) * (4 * 3) = 5 + 8 + 12 = 25

fourth is 5 + (4 * 2) * (4 * 3) + (4 * 4) = 5 + 8 + 12 + 16 = 41

fifth is 5 + (4 * 2) * (4 * 3) + (4 * 4) + (4 * 5) = 5 + 8 + 12 + 16 + 20 = 61

sixth is 5 + (4 * 2) * (4 * 3) + (4 * 4) + (4 * 5) + (4 * 6) = 5 + 8 + 12 + 16 + 20 + 24 = 85

So missing number is 41