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The sum of three numbers in G.P. is 56. ...

The sum of three numbers in G.P. is 56. If we subtract 1,7,21 from these numbers in that order. We obtain an A.P. Find the numbers.

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. The sum of some terms of a GP is 315 whose first term and the common r...

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  2. The first term of a G.P. is 1. The sum of the third term and fifth ter...

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  3. The sum of three numbers in G.P. is 56. If we subtract 1,7,21 from the...

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  4. A G.P. consists of an even number of terms. If the sum of all the term...

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  5. The sum of the first 4 terms of an A.P. is 56. The sum of the last 4 t...

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  6. If (a+bx)/(a-bx)=(b+cx)/(b-cx)=(c+dx)/(c-dx)(xne0) then show that a,b,...

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  7. Let S be the sum P the product and R the sum of reciprocals of n terms...

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  8. The p^(th),q^(th)and r^(th) terms of an A.P. are a,b,c respectively. S...

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  9. If a (1/b+1/c),b(1/c+1/a),c(1/a+1/b) are in A.P. prove that a,b,c are ...

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  10. If a,b,c,d are in G.P. prove that (a^n+b^n),(b^n+c^n),(c^n+d^n) are in...

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  11. If a and b are the roots of x^2-3x+p=0 and c,d are the roots of x^2-12...

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  12. If a,b,c are in A.P. b,c,d are in G.P. and 1/c,1/d,1/e are in A.P. pro...

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  13. Find sum of 5 + 55 + 555 + ... to n terms.

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  14. Find the sum of the following series upto n terms 0.6+0.66+0.666+…

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  15. Find the 20^(th) term of the series 2xx4+4xx6+6xx8+… to n terms

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  16. Find the sum of the 1^(st) n terms of the series 3+7+13+21+31+…

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  17. If S1.S2.S3 are the sum of the first n natural numbers, their squares ...

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  18. Find the sum of the following series upto n terms (1^3)/1+(1^3+2^3)/(1...

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  19. Show that (1 xx 2^2+2 xx 3^2+. .+n xx(n+1)^2)/(1^2 xx 2+2^2 xx 3+. .+n...

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  20. A farmer buys a used tractor for Rs. 12,000. He pays Rs. 6000 cash and...

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