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If first and `(2n-1)^th` terms of an AP, GP. and HP. are equal and their nth terms are a, b, c respectively, then (a) a=b=c (b)a+c=b (c) a>b>c (d) none of these

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
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  2. For the series, S=1+1/((1+3))(1+2)^2+1/((1+3+5))(1+2+3)^2+1/((1+3+5+7)...

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  3. If first and (2n-1)^th terms of an AP, GP. and HP. are equal and the...

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  4. Let the terms a(1),a(2),a(3),…a(n) be in G.P. with common ratio r. Let...

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  9. If a ,b ,a n dc are in G.P., then the equations a x^2+2b x+c=0a n ddx^...

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  10. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

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  14. If x ,y ,a n dz are pth, qth, and rth terms, respectively, of an A.P....

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  15. Sum of 1/(sqrt(2)+sqrt(5))+1/(sqrt(5)+sqrt(8))+1/(sqrt(8)+sqrt(11))+1/...

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  17. If a1, a2, a3, an are in H.P. and f(k)=(sum(r=1)^n ar)-ak ,t h e n (a...

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  18. If a ,b ,c are in A.P., the a/(b c),1/c ,1/b will be in a. A.P b. G.P....

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  19. Let a+a r1+a r1 2++ooa n da+a r2+a r2 2++oo be two infinite series of ...

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  20. The coefficient of the quadratic equation a x^2+(a+d)x+(a+2d)=0 are co...

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