20 points write an explicit formula for the sequence {a_n}={-3, -1/2, 2, 9/2, 7, }. then find a_17. a_n=5/2*n-11/2; 37 a_n=3/2*n-9/2; 21 a_n=5/2*n-11/2; 69/2 a_n=-5/2*n+11/2; -37

Option A is correct.

Step-by-step explanation:

An arithmetic sequence is a sequence of number that the common difference between between the consecutive term is constant.

Explicit formula for arithmetic sequence is given by;

where

n is the number of terms.

is the first term

d is the common difference.

Given the sequence :

This is an arithmetic sequence with common difference: d =

Here,

Since;

and so on...

Then;

or

Simplify:

            .....[1]

To find ;

put n =17 in [1] we get;

Therefore, the explicit formula for the given sequence is,  and value of   ;

i'm sorry i don't know

step-by-step explanation: