2025 October(J08) Math Question 40
Sequences and Patterns
- Arithmetic Sequences
Sum of first 15 positive integers =120= 120=120.
The sum formula: Sn=n(n+1)2S_n = \frac{n(n+1)}{2}Sn=2n(n+1)
S15=15×162=120✓S_{15} = \frac{15 \times 16}{2} = 120 \checkmarkS15=215×16=120✓
S75=75×762=2,850S_{75} = \frac{75 \times 76}{2} = 2{,}850S75=275×76=2,850
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