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The first term of an A.P. is 5, the last...

The first term of an A.P. is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. 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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  2. The number of terms of an A.P. is even. The sum of the odd terms is 24...

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

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

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

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

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

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

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

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

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

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

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  14. Which of the following can be terms of any A.P.? a. 1,6,19 b. sqr...

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

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

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

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

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

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

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