In an increasing sequence of 3 consecutive integers, the sum of the first 2 integers is 561. What is last integer in the sequence?	Choose the correct choice from the following.
A) 281 B) 282 C) 275 D) 270 E) 265
Solution:   In solving this problem we must first remember that when we have 3 consecutive integers we can display them in terms of just 1 variable. Thus, we have the following:   Integer 1: x   Integer 2: x + 1   Integer 3: x + 2   We are given that the sum of the first 2 integers is 560. This means that:   x + x+1 = 561   2x + 1 = 561   2x = 560   x = 280   the last integer can be expressed and simplified as:   x+2 = 280+2= 
<gadget id="calculator">280+2</gadget>
<output>282</output>
282   Answer: 282
<result>B</result>
In an increasing sequence of 3 consecutive integers, the sum of the first 2 integers is 561. What is last integer in the sequence?