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Find the next number in the series: 5, 11, 23, 47, ?
94
95
96
99
95
Observe that each term follows the pattern (n * 2) + 1, where n is the preceding number.
Observe that each term follows the pattern (n * 2) + 1, where n is the preceding number.
Analyze the series transition
Look at the pattern between consecutive numbers: 5 to 11 is (5 * 2) + 1 = 11; 11 to 23 is (11 * 2) + 1 = 23; 23 to 47 is (23 * 2) + 1 = 47.
Calculate the next term
Apply the established pattern (n * 2) + 1 to the last known number: 47 * 2 = 94, and 94 + 1 = 95.
A is wrong because 94 ignores the addition of 1. C is wrong because 96 is an incorrect calculation result. D is wrong because 99 does not fit the constant multiplication and addition rule.
B is correct because the series follows a consistent logic of multiplying the previous term by 2 and adding 1, resulting in 47 * 2 + 1 = 95.
When terms in a series grow roughly by double, immediately test the (x * 2) + y pattern before checking differences or squares.