Sums of consecutive integers

The  exercise appears under the Algebra I Math Mission. This exercise practices finding the nth number in a sequence of consecutive numbers based on the sum.

Types of problems
There is one type of problem in this exercise:
 * 1) What is the nth number in this sequence?: This problem  says that the sum of consecutive integers equals a certain number and user is asked to find the nth number of the sequence.

Strategies
Knowledge of finding number patterns and sums of integers are needed to have success while doing this exercise.
 * 1) To find the sums of consecutive integers, user has to call the first number in the sequence $$x$$
 * 2) The next integer in the sequence is $$x + 1$$

Real-life Applications

 * 1) Problems like this will appear on standardized tests like the SATs and ACTs.