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What is the missing number in the series? 5, 11, 23, 47, 95, ?
191
189
193
195
191
Multiply the current term by 2 and add 1 to get the next term (n * 2 + 1).
Multiply the current term by 2 and add 1 to get the next term (n * 2 + 1).
Analyze the growth pattern
Observe the sequence: 5, 11, 23, 47, 95. Each term is roughly double the previous one, indicating a multiplicative relationship.
Verify the rule across terms
Test the formula (term * 2 + 1): 5 * 2 + 1 = 11, 11 * 2 + 1 = 23, 23 * 2 + 1 = 47, and 47 * 2 + 1 = 95.
Calculate the missing value
Apply the exact same rule to the final given term: 95 * 2 + 1 = 190 + 1 = 191.
B) 189 is wrong because it results from subtracting 1 instead of adding 1. C) 193 is wrong because it results from adding 3. D) 195 is wrong because it represents a different calculation error.
A is correct because multiplying 95 by 2 and adding 1 consistently yields 191 according to the established series pattern.
When terms in a number series grow quickly by more than double each step, test a combination of multiplication and constant addition or subtraction.
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