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In a number pyramid, the bottom row is: a, b, c.
The top number is:
The top number is:
- a)a + b + c
- b)a + 2b + c
- c)2a + b + c
- d)a + b + 2c
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a number pyramid, the bottom row is: a, b, c.The top number is:a)a ...
Middle row: a+b , b+c
Top = (a+b)+(b+c) = a+2b+c
Top = (a+b)+(b+c) = a+2b+c
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Community Answer
In a number pyramid, the bottom row is: a, b, c.The top number is:a)a ...
Understanding the Number Pyramid
In a number pyramid, each number above the bottom row is derived from the numbers directly beneath it. The numbers at the bottom row in this case are a, b, and c.
Structure of the Pyramid
- The bottom row consists of three numbers: a, b, and c.
- The numbers above are calculated by summing pairs of the numbers directly below them.
Calculating the Top Number
1. First Level Above Bottom Row:
- The first number above a and b: a + b
- The second number above b and c: b + c
2. Top Number Calculation:
- The top number is obtained by summing the two values from the first level:
- Top = (a + b) + (b + c)
Combining the Values
- When we combine the terms from the top number calculation:
- Top = a + b + b + c
- This simplifies to: a + 2b + c
Correct Option
- The derived expression for the top number is a + 2b + c, which corresponds to option B.
Conclusion
Thus, the top number of the number pyramid with the bottom row a, b, and c is indeed a + 2b + c, confirming that option B is the correct answer.
In a number pyramid, each number above the bottom row is derived from the numbers directly beneath it. The numbers at the bottom row in this case are a, b, and c.
Structure of the Pyramid
- The bottom row consists of three numbers: a, b, and c.
- The numbers above are calculated by summing pairs of the numbers directly below them.
Calculating the Top Number
1. First Level Above Bottom Row:
- The first number above a and b: a + b
- The second number above b and c: b + c
2. Top Number Calculation:
- The top number is obtained by summing the two values from the first level:
- Top = (a + b) + (b + c)
Combining the Values
- When we combine the terms from the top number calculation:
- Top = a + b + b + c
- This simplifies to: a + 2b + c
Correct Option
- The derived expression for the top number is a + 2b + c, which corresponds to option B.
Conclusion
Thus, the top number of the number pyramid with the bottom row a, b, and c is indeed a + 2b + c, confirming that option B is the correct answer.
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