The average of 7 consecutive numbers is 20. Find the largest of these?
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The average of 7 consecutive numbers is 20. Find the largest of these?
20
19
21
23
For 7 consecutive numbers averaging to 20, the numbers are 17, 18, 19, 20, 21, 22, 23. The average is the middle number (20), and the largest is 3 more than the average.
For consecutive integers, the average equals the middle (4th) term, so the middle number is 20. With 7 consecutive numbers centered on 20, they run from 17 to 23, making 23 the largest. A common mistake is picking 21 or 20 itself, forgetting that the sequence extends 3 steps above the average.