Find the thirtieth term of the following sequence.
-6, -4, -2, 0,
66
64
52
To find the thirtieth term of the sequence, we can first identify the pattern.
The given sequence starts with -6 and each subsequent term increases by 2.
We can write the pattern for the sequence as follows:
Term 1: -6
Term 2: -6 + 2 = -4
Term 3: -4 + 2 = -2
Term 4: -2 + 2 = 0
We notice that the sequence increases by 2 each time. So, to find the thirtieth term, we can start with the first term and keep adding 2 for a total of 29 times (because we want to find the thirtieth term).
-6 + 2(29) = -6 + 58 = 52
Therefore, the thirtieth term of the sequence is 52.
So, the correct answer is 52.
Continue with 2, 4, 6...until the 13th term.
a = -6
d = 2
a_30 = a + 29d