If b is the first term of an infinite G.P. whose sum is five, then b lies in the interval :

If b is the first term of an infinite G.P. whose sum is five, then b lies in the interval :

  1. A

    (,101)

  2. B

    (10,0)

  3. C

    (0,10)

  4. D

    [10,)

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    Solution:

    Let b,br,br2, been infinite G.P. with first term b, common ratio r and sum = 5.

    5=b1r;|r|<1b5=1rr=1b5

    Now, |r|<11b5<11<1b5<1

    0<b5+2<20<10b5<20<b+10<10b<10 and b>0 or b(0,10)

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