1. Sequences

Determine whether the given sequence is arithmetic, geometric or neither. If the sequence is arithmetic, find the common difference; if the sequence is geometric, find the common ratio.

(1) {8 - 3n/4}

(2) {(5/4)^n}

2. Originally Posted by magentarita
Determine whether the given sequence is arithmetic, geometric or neither. If the sequence is arithmetic, find the common difference; if the sequence is geometric, find the common ratio.

(1) {8 - 3n/4}

(2) {(5/4)^n}
For an arithmetic sequence there are constants $a$ and $b$ such that the $n$-th term can be written in the form:

$a+bn$

For a geometric sequence there are constants $a$ and $b$ such thatthe $n$-th term can be written in the form:

$ab^n$.

Now look at the two cases given in your question and you shound be able to answer this your self.

CB

3. Thanks...

Originally Posted by CaptainBlack
For an arithmetic sequence there are constants $a$ and $b$ such that the $n$-th term can be written in the form:

$a+bn$

For a geometric sequence there are constants $a$ and $b$ such thatthe $n$-th term can be written in the form:

$ab^n$.

Now look at the two cases given in your question and you shound be able to answer this your self.

CB
Thank you so much. I will take it from here.