Question

Which answer is the explicit rule for the sequence 3, 8, 13, 18, 23 ... ?

Answer 1

The answer would be an=-2+5n

Answer 2

Answer:

B. $a_n=-2+5n$

Step-by-step explanation:

We have been given a sequence. We are asked to find the explicit rule for the given sequence.

3, 8, 13, 18, 23 ...

We know that explicit formula for a sequence is $a_n=a_1+(n-1)d$, where,

$a_n$ = nth term of the sequence,

$a_1$ = 1st term of the sequence,

$d$ = common difference.

Upon looking at our given sequence we can see that $a_1=3$.

Let us find common difference between two terms by subtracting 3 from 8 as:

$d=8-3=5$

Upon substituting these values in explicit formula we will get,

$a_n=3+(n-1)5$

$a_n=3+5n-5$

$a_n=-2+5n$

Therefore, option B is the correct choice.