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  1. The sum of n terms the series 1 +
    1
    +
    1
    +
    1
    + ..... is
    2
    1. 2n - 1
      2n - 1
    2. 2n - 1 - 1
      2n - 2
    3. 2 – 2n
    4. 2n - 1
      2n
Correct Option: A

As per the given series ,

1 +
1
+
1
+
1
+ ....... n to n terms is a Geometric series
2

whose first term (a) is 1 and the commonratio (r) is
1 / 2 .
Using the given formula ,
Sn =
a(1 - rn)
1 - r

Sn = 1 -
1
2n
1 -
1
2

Sn =
2n - 1
2n
1
2

Sn = 2.
2n - 1
=
2n - 1
2n2n - 1



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