Question

Given the recursive formula for an arithmetic sequence,An = an-1 - Tt, where the first term of the sequence is 7. Which of the following could be explicitformulas for the sequence? Select all that apply.

Answer 1

From the recursive formula:

`a_n=a_(n-1)-\pi`

we notice that the common difference of the sequence is -pi. Now we know that the first term is 7, then the explicit formula is:

`a_n=7-\pi(n-1)`

when

`n>0`

We can relabel this sequence if we assume we start at zero, in this case the sequence will be:

`a_n=7-\pi n`

when:

`n\ge0`