Question

Which form is more convenient to use for finding F(5)? What about F(10)? F(100)?

What are some advantages and disadvantages of each form? F(n)=151+52n-1-52n.

Answer 1

To find the values of F(5), F(10), and F(100) in the given function F(n) = 151 + 52n-1 - 52n, substitute the values of n into the equation. The advantage of using this form is that it provides a straightforward way to calculate the values of F(n), but a disadvantage is that it may be time-consuming for a large range of n.

Step-by-step explanation:

To find the value of F(5), F(10), and F(100) in the given function F(n) = 151 + 52n-1 - 52n, we can substitute the values of n into the equation.

For F(5), we have F(5) = 151 + 52(5-1) - 52(5) = 151 + 52(4) - 52(5) = 151 + 208 - 260 = 99.

Similarly, for F(10), we have F(10) = 151 + 52(10-1) - 52(10) = 151 + 52(9) - 52(10) = 151 + 468 - 520 = 99.

And for F(100), we have F(100) = 151 + 52(100-1) - 52(100) = 151 + 52(99) - 52(100) = 151 + 5148 - 5200 = 99.

Advantages of using this form are that it provides a straightforward way to calculate the values of F(n) and it does not require any complicated calculations. However, a disadvantage is that it may be time-consuming and repetitive to calculate the values for a large range of n.