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Which of the following options should come in place of the question mark (?) in the given series? 5, 11, 23, 47, 95, ?
189
191
193
195
191
Observe that each term is double the previous term plus one: (x * 2) + 1.
Observe that each term is double the previous term plus one: (x * 2) + 1.
Analyze the pattern
Calculate the difference or relationship 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; 47 to 95 is (47 * 2) + 1 = 95.
Apply the rule to the final term
To find the next term after 95, apply the same rule: (95 * 2) + 1. 95 * 2 = 190. 190 + 1 = 191.
A: 189 is incorrect because it is 190 - 1. C: 193 is incorrect because it represents (95 * 2) + 3. D: 195 is incorrect because it represents (95 * 2) + 5.
B is correct because the series follows the mathematical pattern of multiplying the previous term by 2 and adding 1, resulting in 191.
If the series grows rapidly, always check for multiplication patterns (x * 2, x * 3) or squared/cubed differences before looking for simple addition.
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