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The average of 7 consecutive odd numbers is A. If next 4 and previous 3 odd numbers to these 7 odd numbers are also included, then what is the new average of these 14 consecutive odd numbers?

The average of 7 consecutive odd numbers is A. If next 4 and previous 3 odd numbers to these 7 odd numbers are also included, then what is the new average of these 14 consecutive odd numbers? Correct Answer A + 1

Sum of n terms of AP = n/2(2a + (n - 1)d) where ‘a’ is first term and ‘d’ is common difference

Let the first odd number be x

Sum of first 7 odd numbers = 7/2(2x + 6 × 2) = 7x + 42

Average of first 7 odd numbers = (7x + 42)/7 = x + 6 = A

New first term in new case = x - 6

Sum of 14 odd numbers = 14/2(2(x - 6) + 13 × 2) = 14(x + 7) = 14x + 98

Average of 14 odd numbers = (14x + 98)/14 = x + 7 = A + 1

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