Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Arithmetic progression | Let us learn about arithmetic progression and its explicit, recursive rule |
| 2. | Cheatsheet | To remember the important points about arithmetic progression |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Check the sequences are A.P. or not | Other | easy | 3 m. | To justify whether a given sequence is an A.P. by testing if the difference between consecutive terms is constant. |
| 2. | Determine the A.P sequences | Other | easy | 4 m. | To recall the general form of an A.P. and list its terms from a given first term and common difference. |
| 3. | Visualising A.P | Other | easy | 2 m. | To relate the common difference of an A.P. to the slope of its graph and distinguish a linear pattern from a non-linear one. |
| 4. | Assertion and reasoning | Other | easy | 1 m. | To understand triangular numbers and use their explicit formula to test whether a given number belongs to the sequence. |
| 5. | TBQ - General term formation | Other | medium | 5 m. | To determine the explicit and recursive rules of an A.P. using its first term and common difference. |
| 6. | Formation of A.P | Other | medium | 5 m. | To form an A.P. by using the given conditions on its terms to find the first term and the common difference. |
| 7. | TBQ - Check the term | Other | medium | 3 m. | To find the position of a given term in an A.P. using the explicit formula, and to check whether another value belongs to the sequence. |
| 8. | Divisability on two-digit numbers | Other | medium | 4 m. | To apply the explicit formula of an A.P. to count the multiples of a number within a given range. |
| 9. | Middle term of an A.P | Other | hard | 4 m. | To evaluate the middle term of an A.P. by applying the explicit formula to find the total number of terms and locate the middle position. |
| 10. | TBQ - A.P II | Other | hard | 5 m. | To evaluate a required term of an A.P. by forming two linear equations from the given terms and solving them for the first term and the common difference. |