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What comes in place of question mark (?) in the following number series?
4, 12, 36, 108, 324,?
972
520
475
680
None of the above
972
Observe that each term is exactly 3 times the previous term; simply multiply the last term by 3.
Observe that each term is exactly 3 times the previous term; simply multiply the last term by 3.
Analyze the series pattern
Look at the relation between consecutive numbers: 4 * 3 = 12, 12 * 3 = 36, 36 * 3 = 108, 108 * 3 = 324.
Calculate the missing term
Since the ratio is constant (multiplication by 3), apply the same rule to the last term: 324 * 3 = 972.
B: 520 is incorrect because it does not follow the multiplication by 3 pattern; C: 475 is not a multiple of 3; D: 680 is not 324 multiplied by 3.
A is correct because the series follows a geometric progression where each term is multiplied by 3, resulting in 324 * 3 = 972.
In any number series, first check the difference between terms (arithmetic). If the differences grow rapidly, always switch to checking for multiplication or powers (geometric) immediately.
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