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The fourth, seventh and the last term of...

The fourth, seventh and the last term of a G.P. are `10 ,80a n d2560` respectively. Find the first term and the number in the G.P.

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. Which term of the G.P. 2,1,1/2,1/4,..... i s1/(128)?

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  2. Which term of the G.P. 5,10 ,20 ,40 , i s5120 ?

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  3. The fourth, seventh and the last term of a G.P. are 10 ,80a n d2560 re...

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  4. If a ,b ,c are respectively the p^(t h),q^(t h)a n dr^(t h) terms of a...

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  5. In a G.P. of positive terms if any terms is equal to the sum of next ...

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  6. The (m+n)th and (m-n)th terms of a G.P. are p and q respectively. Show...

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  7. If the p^(t h) ,q^(t h) and r^(t h) terms of a GP are a, b and c, r...

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  8. Find all sequences which are simultaneously A.P. and G.P.

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  9. Let S be the sum, P be the product and R be the sum of the reciproc...

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  10. If the A.M. of two positive numbers aa n db(a > b) is twice their geom...

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  11. Find the sum of the following geometric progression: 4,8,16,32....to 8...

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  12. If one A.M., A and two geometric means G1a n dG2 inserted between any ...

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  13. If a ,b ,c are in G.P. and a^(1//x)=b^(1//y)=c^(1//z), then x y z are ...

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  14. If A be one A.M. and p ,q be two G.M. ' s between two numbers, then...

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  15. If p ,q be two A.M. ' s and G be one G.M. between two numbers, then...

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  16. If x is positive, the sum to infinity of the series 1/(1+x)-(1-x)/((1+...

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  17. If (4^3)(4^6)(4^9)(4^(12))(4^(3x))=(0. 0625)^(-54) , the value of x is...

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  18. The sequence 4,12,36,108, is a G.P., because (12)/4=(36)/(12)=(108)/(3...

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  19. The sequence 1/3,-1/2,3/4,-9/8 is a G.P. with first term 1/3 and commo...

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  20. Show that the sequence given by an= 3\ (2^n),\ for all n in N , is a...

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