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Sequences and S...

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  • Question 1
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    The next term of the sequence 1, 2, 4, 7,11,…. is

  • Question 2
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    The next term of the sequence, 2, 6, 12, 20, …..is

  • Question 3
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    The next of the series 3/2 + 5/4 + 9/8 + 17/16 .....is

  • Question 4
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    Which term of the sequence 8 –6i, 7 –4i, 6 –2i, ….is a real number ?

  • Question 5
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    All the terms in A.P., whose first term is a and common difference d are squared. A different series is thus formed. This series is a

  • Question 6
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    If a, 4, b are in A.P.; a, 2, b are in G.P.; then a, 1, b are in

  • Question 7
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    The eleventh term of the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, ….. is

  • Question 8
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    In an A.P., sum of first p terms is equal to the sum of first q terms. Sum of its first p + q terms is

  • Question 9
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    The sum of 40 A.M.’s between two number is 120. The sum of 50 A.M.’s between them is equal to

  • Question 10
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    In an A.P., sum of first p terms is q and sum of first q terms is p. Sum of its p + q terms is

  • Question 11
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    pth term of an A.P. is q and qth term is p, its (p+ q)th term is

  • Question 12
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    pth term of an H.P. is qr and qth term is pr, then rth term of the H.P. is

  • Question 13
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    The value of b for which the roots of the equation sin  x = b are in A.P. is

  • Question 14
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    The number of numbers between n and  n2  which are divisible by n is

  • Question 15
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    The number of terms common to the Arithmetic progressions 3, 7, 11, …., 407 and 2, 9, 16, …., 709 is

  • Question 16
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    If a, b, c are in A. P. as well as in G.P.; then

  • Question 17
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    The 20th term of the series  2 ×4+4 ×6+6 ×8+... is

  • Question 18
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    The ratio of first to the last of n A.m.’s between 5 and 25 is 1 : 4. The value of n is

  • Question 19
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    The next term of the sequence 1, 3, 6, 10, …. Is

  • Question 20
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    If A, G, H denote respectively the A.M., G.M. and H.M. between two unequal positive quantities then

  • Question 21
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    If A, G and H denote respectively, the A.M., G.M. and H.M. between two positive numbers a and b, then A - G is equal to

  • Question 22
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    If a, b, c, d are in H.P., then ab + bc + cd is

  • Question 23
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    The sum of all 2-digited numbers which leave remainder 1 when divided by 3 is

  • Question 24
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    The number of numbers between 105 and 1000 which are divisible by 7 is

  • Question 25
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    The next term of the sequence 1, 5, 14, 30, 55, ……is

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