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If a ,b ,and c are in A.P., then a^3+c^3...

If `a ,b ,and c` are in A.P., then `a^3+c^3-8b^3` is equal to (a).`2a b c` (b). `6a b c` (c). `4a b c` (d). none of these

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. In an A.P. of which a is the first term if the sum of the first p term...

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  2. If Sn denotes the sum of first n terms of an A.P. and (S(3n)-S(n-1))/(...

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  3. 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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  4. The number of terms of an A.P. is even. The sum of the odd terms is 24...

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  5. The largest term common to the sequences 1, 11 , 21 , 31 ,...... to 10...

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

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  7. If Sn denotes the sum of n terms of A.P., then S(n+3)-3S(n+2)+3S(n+1)...

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  8. About 150 workers were engaged to finish a piece of work in a certain ...

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  9. in a G.P (p+q)th term = m and (p-q) th term = n , then find its p th t...

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  10. Assertion: There are infinite geometric progressions of for which 27,8...

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  11. If A1, A2, G1, G2, ; a n dH1, H2 are two arithmetic, geometric and har...

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  12. Let S(1),S(2),"…." be squares such that for each n ge 1, the length o...

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  13. If 1/(b-a)+1/(b-c)=1/a+1/c , then (A). a ,b ,a n dc are in H.P. (B). a...

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  14. If a ,b ,a n dc are in G.P. and x a n d y , respectively, be arithmeti...

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  15. Consider a sequence {an }with a1=2 and an=(a(n-1)^ 2)/(a(n-2)) for all...

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  16. Which of the following can be terms (not necessarily consecutive) of ...

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  17. The numbers 1, 4, 16 can be three terms (not necessarily consecutive) ...

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  18. Each question has four choices a,b,c and d out of which only one is...

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  19. If (1^2-t1)+(2^2-t2)+---+(n^2-tn)=(n(n^2-1))/3 , then tn is equal to a...

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  20. If b(n+1)=1/(1-bn)forngeq1a n db1=b3, t h e nsum(r=1)^(2001)b r^ 2001 ...

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