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: $t_n = 4n+7$ ?

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Answer 1 · 2018-05-12T07:12:19

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

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!!

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