After inserting n A.M.'s between 2 and 38, the sum of the resultin | Filo
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Class 11

Math

Algebra

Sequences and series

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After inserting n A.M.'s between and , the sum of the resulting progressions is . The value of n is?

Correct Answer: Option(b)
Solution: If there are arithmetic and if there are arithmetic means between and , then there are terms

And the first term is and the last term is  

We know that,


Here, and





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