Given the first term and the common difference of an arithmetic sequence find the term named in the problem. ( also can you tell me how you found it?)

1. a1= -25 , d=-6 ; Find a30
A: a30 = -211
B: a30 = -257
C: a30 = -205
D: a30 = -199

Question

Given the first term and the common difference of an arithmetic sequence find the term named in the problem. ( also can you tell me how you found it?)

1. a1= -25 , d=-6 ; Find a30
A: a30 = -211
B: a30 = -257
C: a30 = -205
D: a30 = -199

mathmath333 · Answer

$\tt \color{black}{\text{nth term is given by}}$

$\large\tt \color{black}{a_n=a+(n-1)d}$

$\large\tt \color{black}{a_{30}=-25+(30-1)(-6)}$