Question:
The natural numbers are divided into groups as (1), (2, 3, 4), (5, 6, 7, 8, 9), …..and so on. Then, the sum of the numbers in the 15th group is equal to
The natural numbers are divided into groups as (1), (2, 3, 4), (5, 6, 7, 8, 9), …..and so on. Then, the sum of the numbers in the 15th group is equal to
Updated On: Aug 20, 2024
- 6119
- 7471
- 4941
- 6090
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The Correct Option is A
Solution and Explanation
The natural numbers are organized into sets like (1), (2, 3, 4), (5, 6, 7, 8, 9), and this pattern continues indefinitely.
If you notice that the initial set concludes at 12, the second set concludes at 22, and the third set concludes at 32.
As a result, the 15th set concludes with 152, which equals 225.
The 14th set concludes with 142, which equals 196.
So, the 15th set comprises the numbers from 197 to 225, inclusive.
The total of the numbers in the 15th set is \(\frac{29}{2}(197 + 225)\) resulting in 6119.
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