The sum of 10 consecutive odd numbers is 260. Find the smallest odd number?
- 17
- 18
- 19
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Explanation
Let the smallest odd number = n
Consecutive odd numbers differ by 2
So the 10 numbers are: n, n+2, n+4, n+6, n+8, n+10, n+12, n+14, n+16, n+18
Sum = n + (n+2) + (n+4) + ... + (n+18)
Sum = 10_n + (0+2+4+...+18)
Sum = 10_n + 90
Given sum = 260
So 10_n + 90 = 260
10_n = 260 - 90 = 170
n = 170 / 10 = 17
Last verified on 02-08-2026
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