What is the sum of the first 14 terms of the sequence? -11+ (-18) + (-25) + (-32) +

First, we are going to find the difference, , of our sequence. Remember that in an arithmetic sequence , so:




Now that we have our difference, we can find the sum of the first 14 terms of our sequence using the formula:  
where
is the number of terms we want to add

We now know that , , and . So lets replace those values in our formula:






We can conclude that the sum of the first 14 terms of our sequence is -791.

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What’s the equation you are trying to solve to get x?