Question

How do you find an equation that describes the sequence `11, 22, 33, 44,...` and find the 25th term?

Answer 1

`275`

Explanation:

Sometimes you can spot the pattern strait away. Other times not.

Let the term count be `i`
Let the ith term be `a_i`

I have made the following connection:

`a_1->1xx11=11`
`a_2->2xx11=22`
`a_3->3xx11=33`
`a_4->4xx11=44`

Thus it follows that:

`a_25->25xx11 = 275`