The sum of four consecutive integers is 2174. what are the integers? (continuation) the smallest of four consecutive integers is n. what expression represents the next larger integers? write an expression for the sum of four consecutive integers, the smallest of which is n. write an equation that states that the sum of four consecutive integers is s. solve the equation for n in terms of s. check that your answer to the previous question satisfies this equation by considering the case s= 2174.

 Your four integers are: 
x 
x + 1 
x + 2 
x + 3 

The sum of them is: 
x + x + 1 + x + 2 + x + 3 

So: 
x + x + 1 + x + 2 + x + 3 = 2174 
4x + 6 = 2174 
4x + 6 - 6 = 2174 - 6 
4x = 2168 
4x/4 = 2168/4 
x = 542 

Substituting 542 for x gives you integers of 542, 543, 544 and 545. 

(continuation) The smallest of four consecutive integers is n. What expression represents the next larger integers? Write an expression for the sum of four consecutive integers, the smallest of which is n. Write an equation that states that the sum of four consecutive integers is s. Solve the equation for n in terms of s. Check that your answer to the previous question satisfies this equation by considering the case s= 2174. 

By using the work above, you should be able to answer the questions in the continuation. 

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