How do you write the expression for the nth term of the sequence given $1, 1/4, 1/9, 1/16, 1/25,...$ ?

Question

7029 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-24T19:22:46

$a_n=1/n^2$

$n: 1, 2, 3, 4, 5...$
$a_n: 1, 1/4, 1/9, 1/16, 1/25...$

$1^2=1, 2^2=4, 3^2=9$ , etc.

$n: 1, 2, 3, 4, 5...$
$n^2: 1, 4, 9, 16, 25...$

$n: 1, 2, 3, 4, 5...$

$1/n^2: 1/1, 1/4, 1/9, 1/16, 1/25...$

$therefore a_n = 1/n^2$

How do you write the expression for the nth term of the sequence given 1, 1/4, 1/9, 1/16, 1/25,...1, 1/4, 1/9, 1/16, 1/25,...?