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Consider an infinite geometric series wi...

Consider an infinite geometric series with first term a and common ratio r. If its sum is 4 and the second term is `3/4`, then :

A

`a=7/4, r=3/7`

B

`a=2, r=3/8`

C

`a=3/2, r=1/2`

D

`a=3, r=1/4`.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
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  3. Consider an infinite geometric series with first term a and common rat...

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  4. Sum of the n terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^...

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  5. Let alpha and beta be the roots of x^2-x+p=0 and gamma and delta be th...

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  7. If the sum to 2n terms of the A.P. 2, 5, 8, 11, .... is equal to the s...

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  8. Suppose a,b,c are in AP and a^(2),b^(2),c^(2) are in GP, If agtbgtc an...

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  9. 5th term of a G.P. is 2, then the product of first 9 terms is:

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  10. Find the sum of n terms of the series 1. 2^2+2. 3^2+3. 4^2+

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  11. If the A.M of two numbers is 9 and G.M is 4, then these numbers are ro...

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  12. Let Tr be the rth term of an A.P. whose first term is a and common dif...

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  13. An infinite G.P. has first term ‘x’ and sum ‘5’, then x belongs to ,

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  14. If x= sum(n=0)^(oo) a^n, y=sum(n=0)^(oo) b^n, z= sum(n=0)^(oo) c^n, wh...

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  15. In the quadratic equation ax^2 + bx + c = 0. if delta = b^2-4ac and al...

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  16. The value of underset(n=1)overset(10)sum (sin . (2 n pi)/(11)- cos. (2...

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  17. Let a(1),a(2),a(3),"........." be terms are in AP, if (a(1)+a(2)+".......

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  19. The first two terms of a geometric progression add upto 12 the sum of ...

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