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  1. The next term of the sequence, 1 +
    1
    ;1 +
    1
    ;1 +
    1
    ; 1 +
    1
    ;1 +
    1
    ;1 +
    1
    _______ is.
    223234
    1. 3
    2. 1 +
      1
      5
    3. 5
    4. 1 +
      1
      1 +
      1
      25
Correct Option: A

First term ⇒ 1 +
1
=
3
22

Second term ⇒ 1 +
1
1 +
1
23

Second term =
3
×
4
= 2
23

Third term ⇒ 1 +
1
1 +
1
1 +
1
234

Third term =
3
×
4
×
5
=
5
2342

∴ Fourth term = 1 +
1
1 +
1
1 +
1
1 +
1
2345

Fourth term =
3
×
4
×
5
×
6
=
6
= 3
23452

Hence , required answer is 3.



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