There are n AM's between 1\,\& 31 such that 7th mean: {\left( {n - | Filo
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Class 11

Math

Algebra

Sequences and Series

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There are  AM's between  such that  mean:  mean  then find the value of 

Solution:
Let the arithmetic mean inserted be .

now , series is

hence ,




_______(1)

given that

   

(here , , +1 after 7-1 is because in the series the 1st A.M. is second in terms of series)





putting value of d frm (1)

by solving this you will  get value of
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