Home » Aptitude » Sequences and Series » Question
  1. The value of
    3
    +
    5
    +
    7
    +
    9
    +
    11
    +
    13
    +
    15
    +
    17
    +
    19
    is
    1².2²2².3²3².4²4².5²5².6²6².7²7².8²8².9²9².10²
    1. 1
      100
    2. 99
      100
    3. 101
      100
    4. 1
Correct Option: B

As per the given question ,

Expression =
3
+
5
+
7
+ .....+
17
+
19
1².2²2².3²3².4²8².9²9².10²

Expression =
2² - 1²
+
3² - 2²
+
4² - 3²
+ .....+
9² - 8²
+
10² - 9²
1².2²2².3²3².4²8².9²9².10²

Expression =
1
-
1
+
1
-
1
+
1
-
1
+.....
1
-
1
+
1
-
1
10²

Required answer =
1
-
1
+
1
-
1
+
1
-
1
+ ..... +
1
-
1
+
1
-
1
10²

Required answer = 1 -
1
10²

Required answer = 1 -
1
=
100 - 1
100100

Required answer =
99
100



Your comments will be displayed only after manual approval.