Question

Write a recursive formula for the explicit formula: A(n)=5+(n-1)(3)

Answer 1

might help to write out the first 3 or 4 terms to see how its moving ... notice a pattern if you will

Answer 2

What do you mean?

Answer 3

hint:
we can write:
\[\begin{gathered}
{a_1} = 5 \hfill \\
{a_2} = 5 + 3 \times (2 - 1) = 5 + 3 = 8 \hfill \\
{a_3} = 5 + 3(3 - 1) = 5 + 6 = 11 \hfill \\
{a_4} = 5 + 3(4 - 1) = 5 + 9 = 14 \hfill \\
\end{gathered} \]

Answer 4

as you can see, a term is three more of the preceding term

Answer 5

Okay, yeah I see it

Answer 6

so we can write:
\[A\left( n \right) = A\left( {n - 1} \right) + ...?\]

Answer 7

please complete my formula

Answer 8

3?

Answer 9

that's right!

Answer 10

Thanks!

Answer 11

Thanks!