SSAT Upper Level Math : How to find consecutive integers
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Example Questions
Example Question #1 : How To Find Consecutive Integers
Three consecutive even integers have sum 924. What is the product of the least and greatest of the three?
No three consecutive even integers have sum 924.
Let the middle integer of the three be 
The three even integers are therefore 306, 308, and 310, and the product of the least and greatest of these is
Example Question #2 : How To Find Consecutive Integers
Three consecutive odd integers have sum 537. What is the product of the least and greatest of the three?
Let the middle integer of the three be 
The three integers are 177, 179, and 181, and the product of the least and greatest is
Example Question #493 : Number Concepts And Operations
Four consecutive integers have sum 3,350. What is the product of the middle two?
Call the least of the four integers 
and they can be found using the equation
The integers are 836, 837, 838, 839.
To get the correct response, multiply:
Example Question #3 : Sequences And Series
Three consecutive integers have sum 
Let the middle integer of the three be 
This contradicts the condition that the numbers are integers. Therefore, three integers satisfying the given conditions cannot exist.
Example Question #3 : How To Find Consecutive Integers
Three consecutive integers have a sum of 
Let the middle integer of the three be 
The integers are therefore 103, 104, 105. The correct response is their product, which is
Example Question #6 : How To Find Consecutive Integers
What is the value of 
This is a geometric sequence since the pattern of the sequence is through multiplication.
You have to multiple each value by 
The value before 
Example Question #4 : How To Find Consecutive Integers
Which of the following can be the sum of four consecutive positive integers?
None of the other answers are correct.
Let 
In other words, if 6 were to be subtracted from their sum, the difference would be a multiple of 4. Therefore, we subtract 6 from each of the choices and see if any of the resulting differences are multiples of 4.
Since this only happens in the case of 178, this is the only number of the four that can be a sum of four consecutive integers: 43, 44, 45, 46.
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