Question

What is the explicit rule for the sequence 9, 14, 19, 24, ...?

Answer 1

Answer:

The answer is B.

$a_n=9+5(n-1)$

Step-by-step explanation:

In order to determine the sequence, we have to find the increment between two consecutive terms. So, we subtract two consecutive terms, that it means:

1. The second term with the first term
2. The third term with the second term
3. And so on it.

Then, when we find the increment, we have to determine when this increment is activated and also, the base number which is the same number than the first term.

Thus,

14-9=5

19-14=5

24-19=5

That it means, the increment is 5.

The base number is 9 (the first term in the sequence).

The increment is activated from the second term: (n-1)

Finally, for the nth term of the sequence:

$a_n=9+5(n-1)$

Answer 2

correct answer----} B.

Hope this helps :)))