Multiple choice

There are $11$ terms in an $A.P.,$ its middle term is $25$. Sum of the series is ?

  1. $137.5$
  2. $275$
  3. $225$
  4. $Ques.\ is\ incomplete$
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B Correct answer
Explanation

For an A.P. with an odd number of terms, the sum is (number of terms) * (middle term). Sum = 11 * 25 = 275.

AI explanation

For an arithmetic progression with 11 terms, the middle term is the 6th term, which equals the average of the series. Using the arithmetic mean formula, the sum of the series is the middle term multiplied by the total number of terms. Calculate 25 multiplied by 11 to get the total sum of 275.

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