Question

Write the rule for the following arithmetic sequence: `" "11, 15, 19, 23, …` A: `t_n =2n+10" "` B: `t_n=4n+10" "` C: `t_n=-4n+7" "` D:`t_n = 4n+7` ?

Answer 1

The given arithmetic sequence has the rule of option that is
`t_n =4n+7`

Explanation:

Firstly let us find the common difference, `d`.

Which is clearly equal to `15-11= 19-15 =4`

Also the first term is 11.

The term `t_n =a+(n-1)d`

Where `a = " first term " and d = " common difference "`

So we get `" "t_n =11+(n-1)4`

`t_n =7+4n`

Hope it helps!!