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Find the value of x such that, (i) -2/7...

Find the value of x such that, (i) -2/7, x, -7/2 are three consecutive terms of a G.P.

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Each question has four choices a,b,c and d out of which only one is...

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  2. Find the sum of the following A.P.s : (i)1/15, 1/12, 1/10, … to 11 ter...

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  3. Find the value of x such that, (i) -2/7, x, -7/2 are three consecutiv...

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  4. Let a1 , a2 , ...., a100 be an arithmetic progression with a1 = 3 and ...

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  5. If 1^2+2^2+3^2++2003^2=(2003)(4007)(334) and (1)(2003)+(2)(2002)+(3)(2...

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  6. The value of sum(i=1)^nsum(j=1)^isum(k=1)^j1=220 , then the value of ...

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  7. The sum of 0. 2+0.004+0. 00006+0. 0000008+... to oo is a.(200)/(891) ...

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  8. If tn=1/4(n+2)(n+3) for n=1, 2 ,3,.... then 1/t1+1/t2+1/t3+....+1/(t(...

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  9. The coefficient of x^(19) in the polynomial (x-1)(x-2)(x-2^2)(x-2^(19)...

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  10. If 1-1/3+1/5-1/7+1/9-1/(11)+=pi/4 , then value of 1/(1xx3)+1/(5xx7)+1/...

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  11. Find the value of p, given that the line y/2 = x – p passes through th...

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  12. If tn denotes the nth term of the series 2+3+6+11+18+...then t(50)...

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  13. The number of positive integral ordered pairs of (a ,b) such that 6,a ...

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  14. Let a ,b >0, let 5a-b ,2a+b ,a+2b be in A.P. and (b+1)^2, a b+1,(a-1)^...

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  15. The difference between the sum of the first k terms of the series ...

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  16. The value of the sum(n=0)^oo(2n+3)/(3^n) is equal to.

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  17. How many two digit numbers are divisible by 3 ?

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  18. If the roots of 10 x^3-n x^2-54 x-27=0 are in harmonic progression...

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  19. The 5th and 8th terms of a geometric sequence of real numbers are 7! ...

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  20. Find the 31st term of an A.P. whose 11th term is 38 and 6th term is 73...

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