Find the missing number in the following series. 19 38 152 (?) 19456
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Find the missing number in the following series. 19 38 152 (?) 19456
1156
1216
3236
1926
256
The series follows a multiplication pattern: 19*2=38, 38*4=152, 152*8=1216, 1216*16=19456. The multiplier doubles each time.
The multipliers between consecutive terms are 2, 4, 8, and 16, which are successive powers of 2. Following this pattern, the multiplier for the fourth term must be 8. Multiplying 152 by 8 gives 1216, and multiplying 1216 by 16 confirms the final term of 19456.