The sum of half of the square of n and half of n.
Write the expression for this description.
This is MY answer:
(1/n)^2 + 1/n
Is this correct?
square of n ... n^2
half of the square of n ... (n^2) / 2
sum of half of the square of n and half of n ... [(n^2) / 2] + (n / 2)
or ... (n^2 + n) / 2
No, your answer is not correct.
To write the expression for the sum of half of the square of n and half of n, we need to break down the description into mathematical operations.
"Half of the square of n" can be represented as (1/2) * n^2, where n^2 denotes squaring n.
"Half of n" can be represented as (1/2) * n.
To find the sum of these two expressions, we simply add them together:
(1/2) * n^2 + (1/2) * n
Now, we can simplify this expression further. Notice that both terms share a common factor of (1/2), so we can factor that out:
(1/2) * (n^2 + n)
Therefore, the correct expression for the given description is (1/2) * (n^2 + n).