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What should come in place of the question mark in the series: 4, 12, 48, 240,?
1440
1200
960
1680
1440
Observe that each term is being multiplied by an increasing consecutive integer: 3, 4, 5, and then 6.
Observe that each term is being multiplied by an increasing consecutive integer: 3, 4, 5, and then 6.
Analyze the multiplication pattern
Look at the jumps between consecutive terms: 4 to 12 is 4 x 3 = 12. Then 12 to 48 is 12 x 4 = 48. Then 48 to 240 is 48 x 5 = 240.
Calculate the final term
Following the pattern of multiplying by 3, 4, 5, the next multiplier must be 6. Thus, 240 x 6 = 1440.
B: 1200 is incorrect as it results from 240 multiplied by 5, not 6. C: 960 is incorrect as it results from 240 multiplied by 4. D: 1680 is incorrect as it does not follow the x6 multiplier sequence.
A is correct because the series follows a multiplying pattern of x3, x4, x5, and finally x6, which leads to 240 multiplied by 6 equals 1440.
For rapidly growing series, always check the ratio between terms (T2/T1, T3/T2) first, as it reveals the multiplicative factor almost instantly.