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Let `a_1,a_2,a_3…… ,a_n ` be in G.P such that `3a_1+7a_2 +3a_3-4a_5=0` Then common ratio of G.P can be

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If the first term of a G.P. a_1, a_2, a_3, ddot is unity such that 4a_2+5a_3 is least then the common ratio of G.P. is -2//5 b. -3// c. //5 d. none of these

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a_1,a_2, a_3, ,a_n are in A.P. and a_1+a_3+a_5+a_7+a_9=20 then a_5 is 2 2. 7 3. 3 4. 4 5. 5

Let a_1,a_2 ,a_3 …..be in A.P. and a_p, a_q , a_r be in G.P. Then a_q : a_p is equal to :

Let a_1, a_2, a_3, ,a_(101) are in G.P. with a_(101)=25a n dsum_(i=1)^(201)a_1=625. Then the value of sum_(i=1)^(201)1/(a_1) equals____________.

Let a_1, a_2, a_3, ?a_10 are in G.P. if a_3/a_1 =25 then a_9/a_5 is equal to (A) 5^4 (B) 4.5^4 (C) 4.5^3 (D) 5^3

Let a_1, a_2, a_3, ?a_10 are in G.P. if a_3/a_1 =25 then a_9/a_5 is equal to (A) 5^4 (B) 4.5^4 (C) 4.5^3 (D) 5^3

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Let a_1,a_2,a_3 …. a_n be in A.P. If 1/(a_1a_n)+1/(a_2a_(n-1)) +… + 1/(a_n a_1) = k/(a_1 + a_n) (1/a_1 + 1/a_2 + …. 1/a_n) , then k is equal to :

Let a_1=0 and a_1,a_2,a_3 …. , a_n be real numbers such that |a_i|=|a_(i-1) + 1| for all I then the A.M. Of the number a_1,a_2 ,a_3 …., a_n has the value A where : (a) A lt -1/2 (b) A lt -1 (c) A ge -1/2 (d) A=-2

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. After striking the floor, a certain ball rebounds (4/5)th of height ...

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  2. If S denotes the sum to infinity and Sn the sum of n terms of the seri...

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  3. The first term of an infinite geometric series is 21. The second term ...

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  4. Given that x+y+z=15 when a ,x ,y ,z ,b are in A.P. and 1/x+1/y+1/z=5/3...

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  5. Let a1,a2,a3…… ,an be in G.P such that 3a1+7a2 +3a3-4a5=0 Then common...

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  6. The consecutive digits of a three digit number are in G.P. If middle ...

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  7. If Sn=1^2-2^2+3^2-4^2+5^2-6^2+ ,t h e n S(40)=-820 b. S(2n)> S(2n+2) ...

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  8. If sum(r=1)^n r(r+1)(2r+3)=a n^4+b n^3+c n^2+d n+e , then (a) a-b=d-c ...

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  9. Find the sum off the terms of an infinite decreasing G.P. in which all...

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  10. If a,x,b are in A.P.,a,y,b are in G.P. and a,z,b are in H.P. such that...

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  11. If a,b, and c are in G.P then a+b,2b and b+ c are in

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  12. If in a progression a1, a2, a3,.......... e tc dot,(ar-a(r+1)) bears...

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  13. a ,b ,c x in R^+ such that a ,b ,a n dc are in A.P. and b ,ca n dd ar...

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  14. Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic equ...

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  15. Let a in (0,1] satisfies the equation a^(2008)-2a+1=0 and S=1+a+a^2+.....

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  16. If a ,b and c are in A.P. and b-a ,c-b and a are in G.P., then a : b :...

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  17. If a ,b ,a n dc are in A.P. p ,q ,a n dr are in H.P., and a p ,b q ,a ...

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  18. The sum of three numbers in G.P. is 14. If one is added to the first ...

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  19. If x ,2x+2 and 3x+3 are the first three terms of a G.P., then the four...

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  20. The harmonic mean of two numbers is 4, their arithmetic mean A and geo...

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