Question

Find the thirtieth term of the following sequence.

-6, -4, -2, 0, ...

Answer 1

52 is the thertieth term....
-6,-4,-2,0,2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52

Answer 2

`a_3_0=52`

Explanation:

The sequence tell us that it begins from -6 and increases by a factor of 2 every time, so one possible sequence could be:

`a_n=2(n-4)\hspace{10}n\in N`

Now we have identified the sequence, let's evaluate it for n=30:

`a_3_0=2(30-4)=2(26)=52`