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Series Test - 6...

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  • Question 1
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    If a1, a2, a3 are in H.P., then

  • Question 2
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    If pth term of an H.P is qr and qth term is pr, then rth term of the H.P is

  • Question 3
    1 / -0

    If a, b, c are in H.P., then the value of is

  • Question 4
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    If the ratio of harmonic mean between two positive numbers to their geometric mean is 12 : 13, then the numbers are in the ratio

  • Question 5
    1 / -0

    If H is H.M. between a and b, then the value of H/a + H/b is

  • Question 6
    1 / -0

    Which of the following terms of the A.P. must be zero if the sum of 3rd and 7th term of the A.P. is equal to 4th term of the A.P.?

  • Question 7
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    If is the A.M. between a and b, then the value of n is

  • Question 8
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    Find four numbers in a GP whose sum is 85 and product is 4096.

  • Question 9
    1 / -0

    The sum of three numbers in a GP is 14. If 1 is added to the first and the second terms and 1 is subtracted from the third term, the new numbers are in AP. The smallest of them is

  • Question 10
    1 / -0

    The 288th term of the series abbcccddddeeeeefffffff…. is

  • Question 11
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    The sum of the series, 2 + 12 + 36 + 80 + 150 ______ up to 30 terms is

  • Question 12
    1 / -0

    The sum of 20 terms of the series, ……….. is equal to

  • Question 13
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    5 + 55 + 555 + ... up to the nth term is equal to

  • Question 14
    1 / -0

    Find the sum upto the nth term of the series 0.7 + 0.77 + 0.777 + _____.

  • Question 15
    1 / -0

    The sum of n terms of the series 1 + (1 + 3) + (1 + 3 + 5) + ... is

  • Question 16
    1 / -0

    If the sum of an infinite GP is 3 and the sum of the squares of its terms is also 3, then its first term and the common ratio, respectively, are

  • Question 17
    1 / -0

    If a, b, c are in A.P., b - a, c - b and a are in G.P., then a: b: c is

  • Question 18
    1 / -0

    The sum of infinite series 1 + 2 + 3 + … is

  • Question 19
    1 / -0

    The interior angles of a polygon are in A.P. The smallest angle is 120o and the common difference between the angles is 5o. Find the number of sides of the polygon.

  • Question 20
    1 / -0

    If the sum of the first 11 terms of an arithmetic progression is equal to the sum of the first 19 terms, then what is the sum of the first 30 terms?

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