What is the average of all integers between 150 and 300 that are exactly divisible by 13?

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Accepted Answer

1. Find first and last multiples of 13 between 150 and 300: first = $13	imes12=156$, last = $13	imes23=299$.
2. Count terms: $n=\frac{299-156}{13}+1=12$.
3. Average of an arithmetic sequence = $\dfrac{	ext{first} + 	ext{last}}{2}$.
4. So average = $\dfrac{156+299}{2}=\dfrac{455}{2}=227.5$.

FINAL_ANSWER: b

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