Fill in the missing number in the following series: 5, 6, 14, 45, 184, ?
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Fill in the missing number in the following series: 5, 6, 14, 45, 184, ?
890
905
915
925
The pattern is: 5*1+1=6, 6*2+2=14, 14*3+3=45, 45*4+4=184, 184*5+5=925.
The pattern multiplies each term by an increasing integer and then adds that same integer. Applying this to the numbers, we get (5 x 1) + 1 = 6, (6 x 2) + 2 = 14, (14 x 3) + 3 = 45, and (45 x 4) + 4 = 184. The next term is found by calculating (184 x 5) + 5, which equals 925.