Question

For 8-10, given the recursive rule for an arithmetic sequence, write the explicit rule and complete the table of values. (All information provided in picture is all information provided for question).

Answer 1

`Recursive\text{ rule tells us that a}_(n+1)\text{ = a}_n+d`

We are given the formula f(n) = f(n-1) + 5 for n larger than and including 1.

f(1) = f(0) + 5 = 1

f(2) =f(1) + 5 = 6

f(3) = 11

f(4) = 16

f(5) = 21

f(6) = 26

For an arithmetic sequence:

`\begin{gathered} a_n\text{ = a +\lparen n-1\rparen d} \\ a_{n\text{ = 1 +\lparen n-1\rparen5}} \end{gathered}`

explicit rule: Tn = 1 +(n-1)5