Question

The explicit definition of a sequence is given.

an=2+7(n-1)
Write the recursive definition for the sequence.
NOTE: To get the subscript, press the subscript button in the menu

Answer 1

`a_(n)` =
`a_(n-1)` + 7 : a₁ = 2

Explanation:

An explicit formula has the form

`a_(n)` = a₁ + d(n - 1)

compare with
`a_(n)` = 2 + 7(n - 1)

then a₁ = 2 and common difference d = 7

the recursive rule allows a term to be found by adding d to the previous term, that is

`a_(n)` =
`a_(n-1)` + 7 : with a₁ = 2