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The sum of 10 consecutive odd numbers is 260. Find the smallest odd number?
  1. 17
  2. 18
  3. 19
  4. None of these
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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