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The sum of 5 consecutive integers is 505. What is the second number in this sequence?
Question
The sum of 5 consecutive integers is 505. What is the second number in this sequence?
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Mathematics
4 years
2021-07-24T01:05:40+00:00
2021-07-24T01:05:40+00:00 1 Answers
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Answer:
The second number is 100.
Step-by-step explanation:
Let the first integer be x.
Then since the five integers are consecutive, the second integer will be (x + 1), the third (x + 2), fourth (x + 3), and the fifth (x + 4).
They total 505. Hence:
Solve for x. Combine like terms:
Subtract 10 from both sides:
And divide both sides by five. Hence:
Thus, our sequence is 99, 100, 101, 102, and 103.
The second number is 100.