Question

Please help answer this question as soon as possible!

Answer 1

Answer:

$a_{n}$ = 10.5 - 3n

Step-by-step explanation:

The explicit rule for an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

A recursive formula has the form

$a_{n}$ = $a_{n-1}$ + d ( where d is the common difference )

Given

$a_{n}$ = $a_{n-1}$ - 3 ⇒ d = - 3

Thus explicit rule with a₁ = 7.5 and d = - 3

$a_{n}$ = 7.5 - 3(n - 1) = 7.5 - 3n + 3 = 10.5 - 3n