Question

When we have 1,3,5 and 7 whats is a tn and explain the differences in words?

Answer 1

See explanation below

Explanation:

`1,3,5,7,...` is an arithmetic sequence with constant diference 2, becuase

`3-1=2`
`5-3=2` etc

Or if you want each term is constructed adding 2 to his prior element.

So, the n-term is achieved addind 2 to (n-1) element, the (n-1) is achieved adding 2 to (n-2)element, and so on

There is a formula that gives the n-term of a arithmetic sequence. Such formula is

`a_n=a_1+(n-1)d` where `a_1` is the first term, and `d` is the constant diference. In our case

`a_n=1+(n-1)2=2n-1`

The term 100 will be `a_100=2·100-1=199`

Hope this helps