What is the explicit rule for the sequence? - 57,-49,-41,-33 ...

An=8n-49

An=8n-65

An=-8n-49

An=-8n-65

From the sequence given:

-57,-49,-41,-33 ...

the common difference, d will be:

-49 - (-57)

=8

This implies that the sequence is an arithmetic sequence. The explicit formula is given by:

an=a+d (n-1)

where:

a=first term

d=common difference

n=nth term

from the sequence:

a=-57, d=8

thus the explicit formula for the sequence will be:

an=-57+8 (n-1)

simplifying the above we get:

an=-57+8n-8

an=-65+8n

The answer:

An=8n-65