Hi all,

I have the following table:

N B
1 7.854
2 15.708
3 23.562
4 31.416
5 39.27
6 47.124
7 54.978
8 62.832
9 70.686
10 78.54

Since each increment of N will lead to an increase of the value of B by 7.854 can I represent it as such?

B(N)=N(x) where x=7.854 and N can be a value between 1 and 10.

that is an arithmetic sequence with

An = a + d(n-1)
An = 7.854 + 7.854(n-1)
BUT
it is more simply
An = n* 7.854
as you said

Thanks Damon.

Yes, you can represent it as B(N) = N(x) where x = 7.854 and N can be any value between 1 and 10. This representation suggests that the value of B is directly proportional to N, with a constant of proportionality equal to 7.854.

To confirm this representation, you can use the given table to calculate the value of B for different values of N. For example, if you substitute N = 1 into the equation B(N) = N(x), you would get B(1) = 1(7.854) = 7.854, which matches the value provided in the table.

Similarly, you can check other values of N and calculate the corresponding values of B using the equation. If the calculated values match the values in the table, then the equation B(N) = N(x) is a valid representation.

Remember, it's always a good practice to verify the representation using the available data to ensure its accuracy.