GATE ME 2014 Set 4 — Question 5
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Question
In a sequence of 12 consecutive odd numbers, the sum of the first 5 numbers is 425. What is the sum of the last 5 numbers in the sequence?
Correct answer
495 to 495
Solution
Let the first odd number be . The 12 consecutive odd numbers are .
The sum of the first 5 numbers is:
The last 5 numbers in the sequence of 12 are the 8th, 9th, 10th, 11th, and 12th terms:
Sum of the last 5 numbers = .
The sum of the first 5 numbers is:
The last 5 numbers in the sequence of 12 are the 8th, 9th, 10th, 11th, and 12th terms:
Sum of the last 5 numbers = .
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