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Determine the number of terms in a G.P.,...

Determine the number of terms in a G.P., if `a_1=3,a_n=96 ,a n dS_n=189.`

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If the first term, common ratio and the sum of first n terms of a G.P. be a, r and S_(n) respectively, find the value of S_(1) + S_(2) + S_(3) +….+S_(n) .

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. If a(n+1)=1/(1-an) for n>=1 and a3=a1. then find the value of (a200...

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  3. Determine the number of terms in a G.P., if a1=3,an=96 ,a n dSn=189.

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  4. Let {an}(ngeq1) be a sequence such that a1=1,a n d3a(n+1)-3an=1 for a...

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  5. Let S be the sum, P the product, and R the sum of reciprocals of n ter...

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  6. If the pth term of an A.P. is q and the qth term is p , then find its ...

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  7. Find the product of three geometric means between 4 and 1/4.

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  8. if (m+1)th, (n+1)th and (r+1)th term of an AP are in GP.and m, n and r...

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  9. Insert four G.M.’s between 2 and 486.

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  10. Find the sum 1^2+(1^2+2^2)+(1^2+2^2+3^2)+ up to 22nd term.

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  11. If G is the geometric mean of xa n dy then prove that 1/(G^2-x^2)+1/(G...

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

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  14. Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)+....+n(1-x)(1-2x) ...

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  17. If x=a+a/r+a/(r^2)+oo,y=b-b/r+b/(r^2)+oo,a n d z=c+c/(r^2)+c/(r^4)+o...

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  18. Find the sum of n terms 1+4+13+40+121+....dot

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  19. If each term of an infinite G.P. is twice the sum of the terms foll...

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  20. The sum to n terms of series 1+(1+1/2+1/(2^2))+(1+1/2+1/(2^2)+1/(2^3))...

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