Question

12. An arithmetic sequence begins -40, -29, -18, -7, .... What is the 2009th term in the
sequence?

Answer 1

Answer:

-22128

Step-by-step explanation:

$an = a1 + (n - 1)d$

an= the nth term in the sequence

a1= the first term in the sequence

d= the common difference between terms

so... subtract -40 and -29

$a2009 = - 40 + (2009 - 1)( - 11)$

Solve

$- 40 + 2008( - 11)$

$- 40 + - 22088$

-22128