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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 PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If the numbers n – 2, 4n – 1 and 5n + 2 are in A.P., find the value of...

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  2. The first and the last terms of an A.P. are 17 and 350 respectively. I...

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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 first term of an A.P. is 5, the last term is 45 and the sum is 400...

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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. Find the 20th term of the A.P. whose 7th term is 24 less than the 11th...

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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. The sum of three numbers in A.P. is 3 and their product is – 35. Find ...

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  11. Find the sum of first 51 terms of the A.P. whose second and third term...

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  12. Let S1 , S2,,,,, be squares such that for each n ge 1 the length of a ...

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  13. Find the 6th term from the end of the list of numbers 3, – 6, 12, – 24...

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  14. Determine the 12th term of a G.P. whose 8th term is 192 and common rat...

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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 of any A.P.? a. 1,6,19 b. sqr...

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  17. x, x + 3, x + 9 are first three terms of a G.P. Find the value of x.

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

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

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