Multiple choice

If $11$ $AM.s$ are inserated between $28$ and $10$, then the middle term in the series is

  1. $15$
  2. $19$
  3. $21$
  4. $None\ of\ these$
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B Correct answer
Explanation

With 11 arithmetic means inserted, there are 13 terms in total. The middle term is the average of 28 and 10, so it is (28 + 10)/2 = 19.

AI explanation

When 11 arithmetic means are inserted between 28 and 10, the total number of terms in the arithmetic progression is 13. The common difference is d = (10 - 28) / 12 = -3/2. The middle term is the 7th term of the sequence, calculated as a_7 = 28 + 6 * (-3/2) = 28 - 9 = 19.

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