Pascal's Triangle
In Pascal's triangle, the sum of elements in the nth row is
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About This Question
- Subject
- mathematics
- Chapter
- binomial theorem and its simple applications
- Topic
- pascal's triangle
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
2ⁿ
- Observation: Pascal's triangle represents binomial coefficients.
- Row 0: 1 (Sum =1=20)
- Row 1: 1,1 (Sum =2=21)
- Row 2: 1,2,1 (Sum =4=22)
- Row 3: 1,3,3,1 (Sum =8=23)
- Math Property: The nth row consists of (0n),(1n),…,(nn).
- Result: As proven in the identity ∑(rn)=2n, the sum is 2n.
This easy difficulty mathematics question is from the chapter binomial theorem and its simple applications, covering the topic of pascal's triangle. It appeared in the 2025 exam.
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