Discussion
Select the number from among the given options that can replace the question mark (?) in the following series. 8, 32, 96, 384, ?, 4608
Answer: B
The missing term is 1152.
The terms are multiplied alternately by 4 and 3: 8 × 4 = 32, 32 × 3 = 96, 96 × 4 = 384, 384 × 3 = 1152 and 1152 × 4 = 4608, which matches the last term given.
960, 1536 and 1056 do not lead to 4608 by the alternate factors 4 and 3.
You can confirm the pattern by dividing neighbouring terms: 32 / 8 = 4, 96 / 32 = 3, 384 / 96 = 4, so the multipliers alternate between 4 and 3. The term after 384 is found by multiplying by 3, and the last step to 4608 multiplies by 4 again, which confirms 1152.
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