Sequences & Series Assessment Test

10 Questions | Total Attempts: 137

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Sequences & Series Assessment Test

Sequence is an order of numbers such that the difference of any two successive members is a constant, while series is the sum of the various numbers, or elements of a sequence.


Questions and Answers
  • 1. 
    The first term of a G.P is twice its common ratio. Find the sum of the first two terms of the progression if its sum to infinity is...
    • A. 

      8/5

    • B. 

      8/3

    • C. 

      72/25

    • D. 

      56/9

  • 2. 
    The third term of an A.P is 4x-2y and the 9th term is 10x-8y. Find the common difference.
    • A. 

      19x-17y

    • B. 

      x-y

    • C. 

      8x-4y

    • D. 

      2x

  • 3. 
    Evaluate (-1/2 - 1/4 + 1/8 - 1/16 +... ) -1.
    • A. 

      2/3

    • B. 

      0

    • C. 

      -2/3

    • D. 

      -1

  • 4. 
    The sixth term of an arithmetical progression is half of its twelfth term. The first term is equal to... 
    • A. 

      The common difference

    • B. 

      Half of the common difference

    • C. 

      Zero

    • D. 

      Double of the common difference

  • 5. 
    If the nth term of an A.P is five times the 5th term, find the relationship between a and d.  
    • A. 

      A+2d=0

    • B. 

      2a+d=0

    • C. 

      3a+5d=0

    • D. 

      A+3d=0

  • 6. 
    If the harmonic mean and geometric mean of two numbers a and b are 4 and 3 2 respectively then the interval [a, b] = ___.
    • A. 

      [3, 6]

    • B. 

      [2, 7]

    • C. 

      [4, 5]

    • D. 

      [1, 8]

  • 7. 
    If for the triangle whose perimeter is 37 cm and length of sides are in G.P. also the length of the smallest side is 9 cm, then length of remaining two sides are ___ and __.
    • A. 

      12; 16

    • B. 

      14; 14

    • C. 

      10; 18

    • D. 

      15; 13

  • 8. 
    If 2, b, c, 23 are in a GP, then (b - c)2 + (c - 2)2 + (23 - b)2 = ____.
    • A. 

      625

    • B. 

      525

    • C. 

      441

    • D. 

      428

  • 9. 
    The coefficient of x8 in the product (x+1) (x+2) (x+3) ... (x+10) is...
    • A. 

      1024

    • B. 

      1300

    • C. 

      1320

    • D. 

      1360

  • 10. 
    The series 1. 1! + 2. 2! + 3. 3! + ... + n. n! = ? 
    • A. 

      (n + 1)! -n

    • B. 

      (n + 1)! -1

    • C. 

      N! -1 + n

    • D. 

      N! +1 -n