Question

"An arithmetic sequence has term (P initial) P0=12 and common

difference d=3.
a.) the number 309 is which term of the arithmetic sequence?

Answer 1

The number 309 is the 100th term of the arithmetic sequence with an initial term of 12 and a common difference of 3.

Step-by-step explanation:

The given arithmetic sequence has an initial term (P0) of 12 and a common difference (d) of 3. To find the number 309, we can use the formula for the nth term of an arithmetic sequence:

Pn = P0 + (n - 1)d

Plugging in the given values, we have:

Pn = 12 + (n - 1)3

We need to solve the equation 12 + (n - 1)3 = 309 for n:

12 + 3n - 3 = 309

3n + 9 = 309

3n = 300

n = 100

Therefore, the number 309 is the 100th term of the arithmetic sequence.