Answer:
-70
Explanation:
We are given this arithmetic sequence:
-2, -6, -10, -14, ...
And we want to find the 18th term in it.
The 18th term can be found using this formula:
1st term + common difference(desired term-1)
The desired term is the term that we are looking for. In this case, it would be the 18th term, so substitute 'desired term' with 18.
1st term + common difference(18-1)
So, let's find the first term and the common difference.
The 1st term is the first term (number) that appears in the sequence. In this case, that number would be -2.
The common difference can be found by doing second term minus first term.
Remember that we know that the first term is -2. The second term is the second number that appears in the sequence, which would be -6.
So, do -6 subtract -2.
-6 - - 2
-6 + 2
-4
The common difference is -4.
So, we can plug -2 and -4 into the formula.
-2 - 4(18-1)
Now, doing the order of operations, first, subtract 1 from 18.
-2-4(17)
Now multiply -4 and 17 together.
-2 -68
Subtract -68 from -2.
-70
The 18th term of the sequence is -70.