Sequence And Series Arithmetic And Geometric Progressions

79 Questions | Total Attempts: 154

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Sequence And Series Arithmetic And Geometric Progressions - Quiz

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Questions and Answers
  • 1. 
    The nth element of the sequence 1,3,5,7......is
    • A. 

      N

    • B. 

      2n-1

    • C. 

      2n+1

    • D. 

      None of these

  • 2. 
    The nth element of the sequence -1, 2, -4, 8............. is Options: A. B. C. D.None of these
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 3. 
     can be written as Options: A. B. C. D.None of these
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 4. 
    -5, 25, -125 , 625,............. can be written as Options: A. B. C. D.None of these
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 5. 
    The first three terms of sequence when nth term tn is n2 - 2n are
    • A. 

      -1,0,3

    • B. 

      1,0,2

    • C. 

      -1,0,-3

    • D. 

      None of these

  • 6. 
    Which term of the progression -1, -3, -5,.... Is -39 
    • A. 

      21st

    • B. 

      20th

    • C. 

      19th

    • D. 

      None of these

  • 7. 
    The value of x such that 8x + 4, 6x - 2,2x + 7 will form an AP is
    • A. 

      15

    • B. 

      2

    • C. 

      15/2

    • D. 

      None of these

  • 8. 
    The mth term of an A. P. is n and nth term is m. The r th term of it is 
    • A. 

      M+n+r

    • B. 

      N+m-2r

    • C. 

      M+n+r/2

    • D. 

      M+n-r

  • 9. 
    The number of the terms of the series   wil amount to 155 is
    • A. 

      30

    • B. 

      31

    • C. 

      32

    • D. 

      None of these

  • 10. 
    The nth term of the series whose sum to n terms is 5n2 + 2n is 
    • A. 

      3n-10

    • B. 

      10n-2

    • C. 

      10n-3

    • D. 

      None of these

  • 11. 
    The 20th term of the progression 1, 4, 7,10.............. is
    • A. 

      58

    • B. 

      52

    • C. 

      50

    • D. 

      None of these

  • 12. 
    The last term of the series 5, 7, 9,.... to 21 terms is
    • A. 

      44

    • B. 

      43

    • C. 

      45

    • D. 

      None of these

  • 13. 
    The last term of the A.P. 0.6, 1.2, 1.8,... to 13 terms is 
    • A. 

      8.7

    • B. 

      7.8

    • C. 

      7.7

    • D. 

      None of these

  • 14. 
    The sum of the series 9, 5, 1,.... to 100 terms is
    • A. 

      -18900

    • B. 

      18900

    • C. 

      19900

    • D. 

      None of these

  • 15. 
    The two arithmetic means between -6 and 14 is Options: A. B. C. D.None of these
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 16. 
    The sum of three integers in AP is 15 and their product is 80. The integers are
    • A. 

      2,8,5

    • B. 

      8,2,5

    • C. 

      2,5,8

    • D. 

      8,5,2

  • 17. 
    The sum of n terms of an AP is 3n2 + 5n. The series is
    • A. 

      8,14, 20, 26

    • B. 

      8, 22,42, 68

    • C. 

      22, 68,114,....

    • D. 

      None of these

  • 18. 
    The number of numbers between 74 and 25556 divisible by 5 is
    • A. 

      5090

    • B. 

      5097

    • C. 

      5095

    • D. 

      None of these

  • 19. 
    The pth term of an AP is (3p - l)/6. The sum of the first n terms of the AP is
    • A. 

      N (3n + 1)

    • B. 

      N/12 (3n + 1)

    • C. 

      N/12(3n-l)

    • D. 

      None of these

  • 20. 
    The arithmetic mean between 33 and 77 is
    • A. 

      50

    • B. 

      45

    • C. 

      55

    • D. 

      None of these

  • 21. 
    The 4 arithmetic means between -2 and 23 are
    • A. 

      3,13,8,18

    • B. 

      18, 3, 8,13

    • C. 

      3, 8,13,18

    • D. 

      None of these

  • 22. 
    The first term of an A.P is 14 and the sums of the first five terms and the first ten terms are equal is magnitude but opposite in sign. The 3rd term of the AP is Options: A. B.6 C.4/11 None of these
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 23. 
    The sum of a certain number of terms of an AP series -8,-6,-4,.. is 52. The number of  terms is
    • A. 

      12

    • B. 

      13

    • C. 

      11

    • D. 

      None of these

  • 24. 
    The 1st and the last term of an AP are -4 and 146. The sum of the terms is 7171. The number of terms is
    • A. 

      101

    • B. 

      100

    • C. 

      99

    • D. 

      None of these

  • 25. 
    The sum of the series  to 17 terms is Options: A.530 B.535 C. D.None of these
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

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