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

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 `7^(t h)` and `(m-1)^(t h)` numbers is 5 : 9. Find the value of m.

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. The digits of a positive integer, having three digits, are in A.P. and...

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  2. If eleven A.M. ‘s are inserted between 28 and 10, then find the number...

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

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  4. Find the sum of first 24 terms of the A.P. a1,a2, a3 ......., if it i...

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  5. If the arithmetic progression whose common difference is nonzero the ...

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

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  7. If the first two terms of as H.P. are 2/5 and 12/13, respectively. The...

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  8. Insert five arithmetic means  between 8 and 26. or Insert five numbers...

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  9. If a ,b ,c are in G.P. and a-b ,c-a ,a n db-c are in H.P., then prove ...

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  10. Find the number of terms in the series 20 ,19 1/3,18 2/3... the sum of...

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  11. If x ,ya n dz are in A.P., a x ,b y ,a n dc z in G.P. and a ,b ,c in H...

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  12. Find the sum of all three-digit natural numbers, which are divisible b...

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  13. If a ,b ,c ,and d are in H.P., then find the value of (a^(-2)-d^-2)/(b...

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  14. Prove that a sequence in an A.P., if the sum of its n terms is of the ...

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  15. The product of the three numbers in G.P. is 125 and sum of their pr...

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  16. If the sequence a1, a2, a3,....... an ,dot forms an A.P., then prove ...

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  17. Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n) may be the g...

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  18. Three non-zero numbers a ,b ,a n dc are in A.P. Increasing a by 1 or i...

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  19. A G.P. consists of an even number of terms. If the sum of all the t...

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  20. If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(a ...

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