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What should come in place of тАШ?тАЩ in the given series? 7 21 63 189 567 ?
1700
1702
1703
1701
1701
Observe the constant multiplier: every term is exactly 3 times the preceding term (7x3=21, 21x3=63, etc.).
Observe the constant multiplier: every term is exactly 3 times the preceding term (7x3=21, 21x3=63, etc.).
Analyze the number progression
Given series: 7, 21, 63, 189, 567. We observe the ratio between consecutive terms: 21/7 = 3, 63/21 = 3, 189/63 = 3, and 567/189 = 3.
Calculate the missing term
Since the constant ratio is 3, the next term is 567 multiplied by 3. 567 * 3 = 1701.
A: 1700 is incorrect as it is one less than the result of the multiplier logic. B: 1702 is incorrect as it is one more than the result of the multiplier logic. C: 1703 is incorrect because the multiplier 3 applied to 567 results in exactly 1701.
D is correct because the series follows a geometric progression with a common ratio of 3, leading to 567 * 3 = 1701.
If the numbers in a series increase rapidly, test for geometric patterns (multiplication) before arithmetic patterns (addition). Rapid growth often suggests exponents or multiplication.