The average of 101 consecutive odd numbers is 303. Find the largest number.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 403
Consecutive odd numbers rise by 2 each time, so they are evenly spaced, and the average of evenly spaced numbers is the middle number. With 101 numbers, the middle one is the 51st, with 50 numbers on each side of it.
The 51st (middle) number \(=303\)
The largest number is 50 steps of 2 above it: \(303+50\times2=403\)