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Sequences and Series Test - 40
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Sequences and Series Test - 40
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  • Question 1/10
    4 / -1
    If the 7th term of HP is 1/10 and the 12th term is 1/25, then the 20th term is
    Solutions

  • Question 2/10
    4 / -1
    If a1, a2, a3,...,a are in HP, then the expression a1a2 + a2a3 + ...+an-1an is equal to
    Solutions

  • Question 3/10
    4 / -1
    If AM and HM between two numbers are 27 and 12 respectively, then their GM is
    Solutions

  • Question 4/10
    4 / -1
    If a, a1, a2, ,...,a2n,b are in arithmetic progression and a, g1, g2,..,g2n,b are in geometric progression and his the harmonic mean of a and b, then

    Solutions

  • Question 5/10
    4 / -1
    The sum of the product of the numbers ± 1 ± 2 ±...± n, taken two at a time, is
    Solutions

  • Question 6/10
    4 / -1
    If y = 3χ + 6χ2 + 10χ3 +..., then the value χ in terms of y is
    Solutions

  • Question 7/10
    4 / -1
    The sum of series 1 + 3/2 + 7/4 + 15/8 + 31/16 +... up to n terms is equal to
    Solutions

  • Question 8/10
    4 / -1
    For any integer n ≥ 1,

    Solutions

  • Question 9/10
    4 / -1
    Sum of n terms of the series 1/2 + 3/4 + 7/8 + 5/16 + ...is
    Solutions

  • Question 10/10
    4 / -1
    If α ,β and γ are the roots of the equation χ2 - pχ + q = 0, then the values of

    Solutions

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