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The sum of the first three terms of a st...

The sum of the first three terms of a strictly increasing G.P. is `alphas` and sum of their squares is `s^2`

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

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  2. Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system...

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  3. The sum of the first three terms of a strictly increasing G.P. is alph...

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  4. If (log)3 2,(log)3(2^x-5) and (log)3(2^x-7/2) are in arithmetic progre...

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  5. If p is the first of the n arithmetic means between two numbers and q ...

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  6. If S1, S2 ,S3,.........Sn,........ are the sums of infinite geometri...

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  7. The interior angles of a polygon are in arithmetic progression. The sm...

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  8. If a1,a2,a3, ,an are in A.P., where ai >0 for all i , show that 1/(sqr...

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

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

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

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

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

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

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

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

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

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