Question

Please help I will mark you as brainliest!

Answer 1

We can use the base formula: $a_n=a_1+(n-1)d$

$a_n$ = nth term

$a_1$ = first term

$n$ = position of the term

$d$ = common difference

First, lets find the common difference of the sequence.

12 - 5 = 7

19 - 12 = 7

26 - 19 = 7

Second, find the variables we already know.

$a_1$ = 5

$d$ = 7

Put these values into the formula: $a_n = 5+(n-1)7$

We can use this expression to solve for the fifth term.

$a_5=5+(5-1)7\\a_5=5+(4)(7)\\a_5=5+28\\a_5=33$

Therefore, the answer is $a_n = 5+(n-1)7$

Best of Luck!

Answer 2

N7+5 because you start off with 5 and gradually increase by 7. n is the number in the sequence you will try to find