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If x ,y , and z are in G.P. and x+3,y+3,...

If `x ,y ,` and `z` are in G.P. and `x+3,y+3`, and `z+3` are in H.P., then `y=2` b. `y=3` c. `y=1` d. `y=0`

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
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  2. If x ,y ,a n dz are distinct prime numbers, then (a).x , y , a n dz ma...

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  3. If x ,y , and z are in G.P. and x+3,y+3, and z+3 are in H.P., then y=2...

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  4. If A.M., G.M., and H.M. of the first and last terms of the series of 1...

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  5. The sum 1+3+7+15+31+...to100 terms is a. 2^(100)-102 b. 2^(99)-101 c...

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  6. In a sequence of (4n + 1) terms the first (2n + 1) terms are in AP wh...

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  7. The coefficient of x^(49) in the product (x-1)(x-3)(x-99)i s a. -99^...

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  8. Let S=4/(19)+(44)/(19^2)+(444)/(19^3)+ u ptooo . Then s is equal to a....

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  9. If Hn=1+1/2+...+1/ndot , then the value of Sn=1+3/2+5/3+...+(99)/(50) ...

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  10. If the sum to infinity of the series 1+2r+3r^2+4r^3+ is 9/4, then val...

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  11. The sum o f series 1+4/5+7/(5^2)+(10)/(5^3)+oo is a. 7//16 b. 5//16 ...

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  12. The sum 20 terms of a series whose rth term is given by Tr=(-1)^r((r^2...

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  13. Consider the sequence 1,2,2,4,4,4,4,8,8,8,8,8,8,8,8,... Then 1025th te...

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  14. If a ,1/b ,c and1/p ,q ,1/r form two arithmetic progressions of the c...

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  15. Suppose that F(n+1)= (2F(n)+1)/2 'for n=1,2,3 a n dF(1)=2. T h e ndot...

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  16. In an A.P. of which a is the first term if the sum of the first p term...

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  17. If Sn denotes the sum of first n terms of an A.P. and (S(3n)-S(n-1))/(...

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  18. If a ,b ,and c are in A.P., then a^3+c^3-8b^3 is equal to (a).2a b c (...

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  19. The number of terms of an A.P. is even. The sum of the odd terms is 24...

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