Sequence and Series - Types of Logic Used

Today I got an email from a friend stating that she is facing problem in solving Series questions.

Types of series on the basis of Logic :-

1. Simple addition and subtraction series
2. Prime number series
3. Square and cube series
4. Algebraic series
5. Misc

Practice questions to explain the logic

1) 5, 6, 10, 19, 35, ?

2) 11, 13, 17, 19, 23, ?
All are prime numbers so next number in the series will be 29.

3) 5,7,10,15,22, ?

4) 4, 9, 25, 49, 121, ?

5) 6, 13, 27, 55, 111, ?

6) 3, 5, 9, 15, 23, ?

7) 13, 14, 18, 27, 43, ?

8) 3, 6, 18, 90, 630, ?

9) 1, 4, 27, 16, 125, ?

10) 1, 2, 9, 4, 25, 6, 49, ?

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