what does 2n square denote? Explain with 2 example.
Answers
For the K- Shell, the number of electrons will be 2^2= 2*(1)^2 = 2*1= 2
For the L- Shell, the number of electrons will be 2^2= 2*(2)^2 = 2*4= 8
The maximum number of electrons that can be accommodated in different shells of an atom can be denoted by 2n2 rule.
Answer:
The expression 2n² denotes the result of multiplying the number n by itself and then multiplying the product by 2. It is equivalent to 2 times n raised to the power of 2, or 2n × n.
For example, if n = 3, then 2n² = 2 × 3² = 2 × 9 = 18. Another example could be if n = 5, then 2n² = 2 × 5² = 2 × 25 = 50.
In mathematical terms, we can write 2n² as:
2n² = 2 × n × n
This expression is often used in mathematics to represent the growth rate of certain functions or to calculate the number of operations required by an algorithm.
Explanation:
The expression 2n² represents the result of multiplying the number n by itself and then multiplying the product by 2. This can be written mathematically as:
2n² = 2 × n × n
To understand this expression better, let's take the example of n = 4. In this case, we can calculate 2n² as:
2n² = 2 × n × n
2 × 4 × 4 = 32
So 2n² is equal to 32 when n is 4.
Another example could be n = 6. In this case, we can calculate 2n² as:
2n² = 2 × n × n
2 × 6 × 6 = 72
So 2n² is equal to 72 when n is 6.
The expression 2n² is often used in mathematics to represent the growth rate of certain functions or to calculate the number of operations required by an algorithm. For example, if an algorithm requires 2n² operations to complete, it means that the number of operations required increases quadratically with the input size n. This can be useful for analyzing the efficiency of algorithms and for making predictions about how long they will take to run on different inputs.
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