The explicit formula lower a subscript n baseline equals 2 minus 5 left parenthesis n minus 1 right parenthesis represents an arithmetic sequence. Write the recursive formula for the sequence.

(1 point)
Responses

StartLayout Enlarged left-brace 1st Row lower a subscript 1 baseline equals 5 second row lower a subscript n baseline equals lower a subscript n minus 1 baseline plus 2 EndLayout
Image with alt text: StartLayout Enlarged left-brace 1st Row lower a subscript 1 baseline equals 5 second row lower a subscript n baseline equals lower a subscript n minus 1 baseline plus 2 EndLayout

StartLayout Enlarged left-brace 1st Row lower a subscript 1 baseline equals 2 second row lower a subscript n baseline equals lower a subscript n minus 1 baseline plus 5 EndLayout
Image with alt text: StartLayout Enlarged left-brace 1st Row lower a subscript 1 baseline equals 2 second row lower a subscript n baseline equals lower a subscript n minus 1 baseline plus 5 EndLayout

StartLayout Enlarged left-brace 1st Row lower a subscript 1 baseline equals 5 second row lower a subscript n baseline equals lower a subscript n minus 1 baseline minus 2 EndLayout
Image with alt text: StartLayout Enlarged left-brace 1st Row lower a subscript 1 baseline equals 5 second row lower a subscript n baseline equals lower a subscript n minus 1 baseline minus 2 EndLayout

StartLayout Enlarged left-brace 1st Row lower a subscript 1 baseline equals 2 second row lower a subscript n baseline equals lower a subscript n minus 1 baseline minus 5 EndLayout

1 answer

The recursive formula for the arithmetic sequence is:

\[a_1 = 2\]
\[a_n = a_{n-1} - 5\]