anonymous one year ago Identify the 42nd term of an arithmetic sequence where a1 = −12 and a27 = 66.

1. anonymous

$a_{27}=-12+26\times d=66$ solve for $$d$$ first

2. anonymous

So, I got a27=14xd=66

3. anonymous

no

4. anonymous

solve $-12+26d=66$ first just like you solve any linear equation

5. anonymous

d=3

6. anonymous

add $$12$$ to both sides, then divide both sides by $$26$$ to solve for $$d$$

7. anonymous

yeah $$d=3$$

8. anonymous

Do we plug it back again?

9. anonymous

so the 42 term is $-12+41\times 3$

10. anonymous

111?

11. anonymous

idk i didn't do it hold on

12. anonymous

ok:)

13. anonymous

yeah looks good