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Between 1 and 31, m numbers have been in...

Between 1 and 31, m numbers have been inserted in such a way that the resulting sequence is an A.P. and the ratio of 7th and (m-1)th numbers is 5 : 9. Find the value of m.

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The correct Answer is:
m=14
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MODERN PUBLICATION-SEQUENCES AND SERIES-NCERT FILE QUESTIONS FROM NCERT BOOK (EXERCISE 9.2 )
  1. Find the sum of odd integers from 1 to 2001.

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  2. Find the sum of all natural numbers lying between 100 and 1000, whi...

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  3. In an A.P., the first term is 2 and the sum of the first five terms is...

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  4. How many terms of the A.P. -6,-(11)/(2),-5… are needed to give the sum...

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  5. In an A.P., if p^(t h)term is 1/qand q^(t h)term is 1/p, prove that t...

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  6. If the sum of a certain number of terms of the A.P. 25, 22, 19.... ...

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  7. Find the sum to n terms of the A.P., whose kth term is 5k+1.

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  8. If the sum of n terms of an A.P. is (pn+qn^(2)), where p and q are con...

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  9. The sum of n terms of two arithmetic progressions are in the ratio 5n+...

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  10. If the sum of first p terms of an A.P. is equal to the sum of the firs...

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  11. Sum of the first p, q and r terms of an A.P are a, b and c, respectiv...

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  12. The ratio of the sums of m terms and n terms of an A.P. is m^(2) : n^(...

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  13. If the sum of n terms of an A.P. is 3n^(2)+5n and its mth term is 164,...

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  14. Insert five numbers between 8 and 26 such that the resulting sequence ...

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  15. "If " (a^(n)+b^(n))/(a^(n-1)+b^(n-1))" is the A.M. between" a and b, t...

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  16. Between 1 and 31, m numbers have been inserted in such a way that the ...

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  17. A man starts repaying a loan as first instalment of Rs. 100. If he ...

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  18. The difference between any two consecutive interior angles of a polyg...

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