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The sum 1+3+7+15+31+...to100 terms is a....

The sum `1+3+7+15+31+...to100` terms is a. `2^(100)-102 ` b. `2^(99)-101` c. `2^(101)-102` d. none of these

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If x ,y , and z are in G.P. and x+3,y+3, and z+3 are in H.P., then a.y...

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

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

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  4. The sum of first 15 terms of an A.P. is 750 and its first term is 15. ...

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

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

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

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

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

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  11. 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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  12. If the first term of an A.P. is – 18 and its 10th term is zero, then f...

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  13. Suppose that F(n + 1) =(2F(n) + 1)/2 for n = 1,2,3,,,, and F(1) = 2. T...

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  14. If the numbers n – 2, 4n – 1 and 5n + 2 are in A.P., find the value of...

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  15. The first and the last terms of an A.P. are 17 and 350 respectively. I...

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

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  18. The first term of an A.P. is 5, the last term is 45 and the sum is 400...

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  19. If the sum of m terms of an A.P. is the same as the sum of its n terms...

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  20. Find the 20th term of the A.P. whose 7th term is 24 less than the 11th...

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