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In a G.P. the first, third, and fifth te...

In a G.P. the first, third, and fifth terms may be considered as the first, fourth, and sixteenth terms of an A.P. Then the fourth term of the A.P., knowing that its first term is 5, is `10` b. `12` c. `16` d. 20

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. Let an be the nth term of a G.P. of positive numbers. Let sum(n=1)^(10...

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  2. If the pth, qth, and rth terms of an A.P. are in G.P., then the common...

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  3. In a G.P. the first, third, and fifth terms may be considered as the ...

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  4. If a,b,c,d be in G.P. show that (b-c)^2+(c-a)^2+(d-b)^2=(a-d)^2.

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  5. If the pth, qth, rth, and sth terms of an A.P. are in G.P., then p-q ,...

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  6. A B C is a right-angled triangle in which /B=90^0 and B C=adot If n po...

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  7. If (1-p)(1+3x+9x^2+27 x^3+81 x^4+243 x^5)=1-p^6,p!=1 , then the value ...

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  8. ABCD is a square of length a, a in N, a > 1. Let L1, L2 , L3... be poi...

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  9. Let Tr a n dSr be the rth term and sum up to rth term of a series, res...

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  10. If (1+3+5++p)+(1+3+5++q)=(1+3+5++r) where each set of parentheses cont...

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  11. If a x^3+b x^2+c x+d is divisible by a x^2+c ,t h e na ,b ,c ,d are in...

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  12. The line x+ y = 1 meets X-axis at A and Y-axis at B,P is the mid-poin...

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  13. In a geometric series, the first term is a and common ratio is rdot If...

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  14. If x ,y ,a n dz are distinct prime numbers, then (a).x , y , a n dz ma...

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

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

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

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

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

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