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Determine the number of terms in G.P. if `a_1=3,a_n=96 and S_n=189`.

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Determine the number of terms in G.P. >,ifa_1=3,a_n=96a n dS_n=189.

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Let there be an A.P. with first term ' a ' , common difference ' d ' . If a_n denotes its n t h term and S_n the sum of first n terms, find n and a_n , if a=2,\ \ d=8 and S_n=90 .

The first and last term of a geometrical Pregression (G.P.) are 3 and 96 respectively. If the common ratio is 2, find : (i) 'n' the number of terms of the G.P. (ii) Sum of the n terms.

Let there be an A.P. with first term ' a ' , common difference ' d ' . If a_n denotes its n t h term and S_n the sum of first n terms, find n and S_n , if a=5,\ \ d=3 and a_n=50

A G.P. has first term a=3 , last term l=96 and sum of n terms S=189 . Find the number of terms in it.

RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. In a G.P the sum of the first and last terms is 66, the product of the...

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  2. If S1,S2a n dS3 be respectively the sum of n, 2n and 3n terms of a G....

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  3. Determine the number of terms in G.P. if a1=3,an=96 and Sn=189.

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  4. How many terms of the geometric series 1+4+16+64+ will make the sum 54...

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  5. Find the sum of an infinitely decreasing G.P. whose first term is equa...

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  6. If x=sum(n=0)^oocos^(2n)theta,y=sum(n=0)^oosin^(2n)varphi,z=sum(n=0)^o...

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  7. The sum of an infinite G.P. is 57 and the sum of their cubes is 9457 ,...

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  8. Which is the rational number having the decimal expansion 0.3 bar( 56)...

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  9. A square is drawn by joining the mid-points of the sides of a square. ...

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  10. After striking a floor a certain ball rebounds (4/5)^(t h) of the heig...

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  11. Sum the following geometric series to infinity: 1/2+1/(3^3)+1/(2^3)+1/...

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  12. If x=a+a/r+a/(r^2)+oo,y=b-b/r+b/(r^2)+oo,a n dz=c+c/(r^2)+c/(r^4)+oo, ...

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  13. If x=1+a+a^2+oo,w h e r e|a|<1a n dy=1+b+b^2+oo,w h e r e|b|<1. prove...

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  14. If A=1+r^a+r^(2a)+ to oo and B=1+r^b+r^(2b)+oo , prove that r=((A-1)/A...

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  15. Prove that the product n geometric means between two quantities is equ...

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  16. If a ,b ,c ,d are four distinct positive numbers in G.P. then A. a +...

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  17. Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n)may be the geo...

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  18. Insert 5 geometric means between 576 and 9.

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  19. Let x be the arithmetic mean and y ,z be tow geometric means between a...

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  20. Find two positive numbers whose difference is 12 an whose A.M. exce...

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