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Which of the following options should come in place of the question mark (?) in the given series to make it logically complete? 13, 24, 46, 79, 123,?
176
172
178
174
178
Calculate the difference between consecutive terms. The difference increases by 11 each step (+11, +22, +33, +44, +53... wait let's check exact double difference or simple addition pattern).
Calculate the difference between consecutive terms. The difference increases by 11 each step (+11, +22, +33, +44, +53... wait let's check exact double difference or simple addition pattern).
Step 1: Analyze differences between consecutive terms
Find the difference between each term: 24 - 13 = 11, 46 - 24 = 22, 79 - 46 = 33, and 123 - 79 = 44.
Step 2: Identify the pattern in differences
The differences are consecutive multiples of 11: 11, 22, 33, 44.
Step 3: Calculate the next term
The next difference must be 44 + 11 = 55. Adding 55 to the last term 123 gives 123 + 55 = 178.
A: 176 is incorrect as the next difference is 55, giving 178. B: 172 is incorrect due to calculation error. D: 174 is incorrect as it does not match the arithmetic difference sequence.
C is correct because the series increases by multiples of 11 (+11, +22, +33, +44, +55), making the
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