Find the indicated term of the sequence.
-If the second term of an arithmetic progression is $- 6$ and the twelfth term is 84 , find the nineteenth term.
A) 9
B) 156
C) $- 15$
D) 147

Question

Quizplus · Accepted Answer

The common difference $d$ can be found using the formula for the $n$-th term of an arithmetic sequence: $a_n = a_1 + (n-1)d$. Given $a_2 = -6$ and $a_{12} = 84$, we can find $d$ and then use it to find $a_{19}$. Solving gives $d = 9$ and $a_{19} = 147$.

Find the Indicated Term of the Sequence −6- 6−6 And the Twelfth Term Is 84 , Find the Nineteenth

Find the Indicated Term of the Sequence $- 6$ And the Twelfth Term Is 84 , Find the Nineteenth