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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 `7^(th)` and `(m-1)^(th)` numbers in 5:9. Find the value of m.

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V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
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  2. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, find the v...

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

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

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  5. The difference between any two consecutive interior angles of a polygo...

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  7. Which term of the G.P., 2,8,32, ., up to n terms is 131072 ?

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  9. Using progression, find the sum of first five terms of the series 1+2/...

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  10. How many terms of the GP 3,3/2,3/4,….are needed to give the sum 3069/5...

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  11. The sum of first three terms of a Geometric Progression is 13/12 and t...

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  12. Find the sum to n terms of the sequence 7,77,777,7777,…….

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  13. A person has 2 parents, 4 grandparents, 8 great grandparents, and so o...

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  14. Insert three numbers between 1 and 256 so that the resulting sequence ...

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  15. If AM and GM of two numbers are 10 and 8 respectively, find the number...

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  16. Find the 20^( th) and n^ (th) terms of the G. P, 5/2, 5/4, 5/8...

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  17. Find the 12^(th) term of a G.P. whose 8^(th) term is 192 and the commo...

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  18. The 5^th, 8^th and 11^th terms of a GP are p, q and s respectively. Pr...

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  19. The 4^(th) term of a G.P. is square of its second term and the first t...

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  20. Which term of the following sequences (a) 2,2 sqrt2, 4, . . . is 128 ...

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