Which of the following is the next number in the series
1, 3, 6, 10, ...?
Explanation
The correct option is (c) 15.
Logic and Pattern Detection
Let us analyze the differences between consecutive numbers in the given sequence:
First term to second term:
3−1=2
Second term to third term:
6−3=3
Third term to fourth term:
10−6=4
The pattern shows that the difference between consecutive terms increases by 1 each time (+2,+3,+4,…). These numbers are also known as triangular numbers.
Finding the Next Term
Following the established pattern, the difference between the fourth term (10) and the missing fifth term must be +5:
Next Number=10+5
Next Number=15
Conclusion
The next number in the series is 15, which perfectly matches option (c).