Question

If a, b, c, d, e are five consecutive odd integers, what is their average?

• A. a+4
• B. \(\frac{abcde}{5}\)
• C. 5(a+b+c+d+e)
• D. None of the above

Answer 1

The Correct Option is A

a, b, c, d, e are five consecutive odd numbers then,
\(b = a + 2, c = a + 4, d = a + 6, e = a + 8\)
Sum of all the five consecutive number=\(a+b+c+d+e\)
\(a + (a + 2) + (a + 4) + (a + 6) + (a + 8)\)
\(=5a + 20\)
\(Average=\frac{(Sum of all the terms)}{(Total number of terms)}\)
\(=\frac{(5a + 20)}{5}\)
\(\therefore a + 4\)
The correct answer is (A): a+4