Question

Identify the explicit function for the sequence in the table.

1 9
2 14
3 19
4 24
5 29
,
O A. a[n) = 9+ (n - 1)•5
O B. a(n) = 5 + (n - 1)•9
O.C. a[n) = 9 (n-1)
O D. a(n) = 5(n-1)

Answer 1

the answer is A

Explanation:

Answer 2

A.

`a_n=9+(n-1)\cdot 5`.

Explanation:

The common difference is 5. The y values are going up by 5. So this is an arithmetic sequence since we have a common difference.

The explicit form for arithmetic sequence is:

`a_n=a_1+(n-1) \cdot d` where d represents the commom difference and
`a_1` is the first term.

Here the first term is
`a_1=9` and we already determined the value for d which is 5.

Inputing these values for first term and common difference give:

`a_n=9+(n-1)\cdot 5`.