If we count by 3's starting with 1, the following sequence is obtained: 1,4,7,10..., what is the 100th number in this sequence

Question

The equation is 3x-2=y

Answer 1

The equation that you give is correct.

 

y = 3x-2

 

Here y is the value of the x^th term.  For the 100th term, x = 100:

 

y = 3(100)-2

 

y = 300 - 2

 

y = 298

Answer 2

a_n = a₁+ d(n-1)

 

This says the nth number = the first number + (difference between numbers)(1 less than n)

 

If you want the 100th number, then n=100

 

a_n = 1 + 3(99) = 298

 

You can also try this.

 

1 + 3x0   first term

1 + 3x1   second term

1 + 3x2   third term

1 + 3x3   fourth term

1 + 3x99   100th term