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How many geometric progressions are possible containing 27, 8 and 12 as three of its/their terms

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
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  2. If a1,a2,a3, ,an are in A.P., where ai >0 for all i , show that 1/(sqr...

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  3. How many geometric progressions are possible containing 27, 8 and 12 a...

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  4. Find three numbers a,b,c between 2 & 18 such that; their sum is 25; th...

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  5. Find the sum 1+2(1+1/50)+3(1+1/50)^(2)+…50 terms.

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  6. The sum of 50 terms of the series 3/(1^2)+5/(1^2+2^2)+7/(1^2+2^2+3^2)+...

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  7. If a1, a2, an are in A.P. with common difference d!=0 , then the sum ...

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  8. The sum of the series a-(a+d)+(a+2d)-(a+3d)+... up to (2n+1) terms is:...

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  9. If a ,b , a n dc are in G.P. and x ,y , respectively, are the arithmet...

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  10. If a ,ba n dc are in A.P., and pa n dp ' are respectively, A.M. and ...

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  11. Find the sum 3/(1xx2)xx1/2+4/(2xx3)xx(1/2)^2+5/(3xx4)xx(1/2)^2+ ton te...

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  12. If the sum of n terms of the series (2n+1)/(2n-1)+3((2n+1)/(2n-1))^...

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  13. Let x=1+3a+6a^2+10 a^3+ ,|a|<1. y=1+4b+10 b^2+20 b^3+ ,|b|<1. Find S...

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  14. If the first and the nth terms of a G.P are a and b , respectively, an...

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  15. Along a road lie an odd number of stones placed at intervals of 10 met...

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  16. Find a three – digit number such that its digits are in increasing G.P...

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  18. For a ,x ,>0 prove tht at most one term of the G.P. sqrt(a-x),sqrt(x),...

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