The sum of 3 consecutive odd numbers is 183. What is the third number in this sequence?
2 answers:
Answer:
The third number in this sequence is 63.
Step-by-step explanation:
Let the first odd number be <em>x</em>.
Since our sequence are consecutive odd numbers, the second term must be (<em>x</em> + 2) and the third (<em>x</em> + 4). If we only add one, we will get even numbers.
Their sum is 183. Hence:
Solve for <em>x</em>. Combine like terms:
Subtract six from both sides:
And divide both sides by three. Hence:
Therefore, our sequence is 59, 61, and 63.
The third number in this sequence is 63.
Note: If we do not get an odd number or if we get a fraction for <em>x</em>, we can conclude that no three consecutive integers sum to 183.
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