Question

How do you find the nth term formula 4, 4.3, 4.6, 4.9?

Answer 1

`a_n=4+0.3(n-1)`

Explanation:

The difference between each term is 0.3 so we have an arithmetic sequence.

Let `i` be the term position count in the sequence
Let any term be `a_i`

Then
`i->a_1=4`
`i->a_2=4+0.3`
`i->a_3=4.6=4+(2xx0.3)`
`i->a_4=4.9=4+(3xx0.3)`

We observe that any term `a_i = 4+[(i-1)xx0.3]`

Thus for `i=n` we have `a_n=4+[(n-1)xx0.3]`

Write as:`" "a_n=4+0.3(n-1)`