Sum of Consecutive Integers Problem

Test Preparation SAT Preparation
1

<p>Bluebook, page 673 -</p>

<h1>18</h1>

<p>If the sum of the consecutive integers from -22 to x, inclusive, is 72, what is the value of x?</p>

<p>a) 23
b) 25 The Answer
c) 50
d) 75
e) 94</p>

<p>I constantly get this type of problem wrong because I do not know how to figure this type of problem out without just straight-up typing it in the calculator, and that takes entirely too much time. Could someone explain a more logical, sensible way to solve this type of problem? Thanks.</p>

2

<p><a href="http://talk.collegeconfidential.com/sat-preparation/550344-sat-math-question-algebra.html?highlight=If+the+sum+of+consecutive+integers+from+to+x%2C+inclusive%2C+is+72%2C+what+value+x%5B/url%5D"&gt;http://talk.collegeconfidential.com/sat-preparation/550344-sat-math-question-algebra.html?highlight=If+the+sum+of+consecutive+integers+from+to+x%2C+inclusive%2C+is+72%2C+what+value+x&lt;/a&gt;&lt;/p>

3

<p>Oh, well. Thank you. ;)</p>

<p>EDIT: Wow. That problem is stupidly easy. What was I thinking?</p>