Question

Find the thirtieth term of the following sequence.
-6, -4, -2, 0, ...

52
64
66

Answer 1

is there a common difference?
that is do you have the following equality holds:
-4-(-6)=-2-(-4)=0-(-2)
if so, then this an arithmetic sequence
let's call it d
let's call a1 the first number in your seqence
then the nth term of your sequence is given by:
\[a_n=a_1+d(n-1)\]
so you want to find a30
so replace the n's with 30 and the d with the number you found above
and then you will have a30