15 (1 + 2 + 3 + 4 + 5).
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They don't necesarily,3 is a triangular number and 10 is a triangular number. Their sum is 13 which is not a square number.They don't necesarily,3 is a triangular number and 10 is a triangular number. Their sum is 13 which is not a square number.They don't necesarily,3 is a triangular number and 10 is a triangular number. Their sum is 13 which is not a square number.They don't necesarily,3 is a triangular number and 10 is a triangular number. Their sum is 13 which is not a square number.
Only 9 and 15 are odd so the rest can be rejected. 9 is not a triangular number so only 15 is odd and a triangular number.
21
No. The first few triangular numbers are 1, 3, 6, 10, 15, 21, 28, ...
It can be hard to answer questions of this type based on only three examples. However, that does happen to be the start of the sequence called the "triangular numbers" ... that is, those quantities that can be arranged in an equilateral triangle (like bowling pins or billiard balls). The next number in the triangular sequence is 10 (followed by 15, 21, 28, etc).