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Sequences and S...

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  • Question 1
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    If  a ∈R, then the roots of the equation tan x = a are in

  • Question 2
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    The values of ‘a ’for which the roots of the equation sin x = a in A.P. are

  • Question 3
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    The sum of first four terms of an A. P. is 56 and sum of last four terms is 112. If the first term is 11, then the number of terms is

  • Question 4
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    The ratio of the  7th to the (n –1)th mean between 1 and 31, when n arithmetic means are inserted between them, is 5 : 9. The value of n is

  • Question 5
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    The sum of first n terms of the series 1 –1 + 1 –1 + …is

  • Question 6
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    If a, b, c, d , e are in G. P., then  e/c  equals

  • Question 7
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    The product of first n odd terms of a G.P. whose middle term is m is

  • Question 8
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    The fourth term of a G. P. is 2, then product of first 7 terms is

  • Question 9
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    If three positive numbers a, b, c are in G. P. then log a, log b, log c are in

  • Question 10
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    The nth term of the sequence 5 + 55 + 555 + …. is

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