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What should come in place of тАШ?тАЩ in the given series? 5 20 80 320 1280 ?
5120
5128
5130
5134
5120
Observe that each term is exactly 4 times the previous term (x4 multiplication series).
Observe that each term is exactly 4 times the previous term (x4 multiplication series).
Analyze the multiplication pattern
Look at the transitions between consecutive numbers: 5 to 20 (5 * 4 = 20), 20 to 80 (20 * 4 = 80), 80 to 320 (80 * 4 = 320), and 320 to 1280 (320 * 4 = 1280).
Apply pattern to find the missing term
Following the established pattern of multiplying by 4, the final step is 1280 * 4. Calculating 1280 * 4 gives 5120.
B: 5128 is incorrect as it results from invalid addition, C: 5130 is incorrect as it does not follow the multiplication factor of 4, D: 5134 is incorrect as it lacks any logical arithmetic derivation from 1280.
A is correct because the series follows a geometric progression where each term is multiplied by a constant ratio of 4 to obtain the next term (1280 * 4 = 5120).
In competitive exams, always check for multiplication series first if the gap between numbers grows rapidly. If not multiplication, check for squares or cubes.