Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Predicting what comes next - Cheatsheet | To remember the important points about sequence, arithmetic progression, geometric progression and fractals. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Finding first three terms | Other | easy | 3 m. | To find the first three terms using the given rule. |
| 2. | TBQ Recursive rule | Other | hard | 6 m. | To solve the given problem by using the recursive rule. |
| 3. | TBQ - A.P | 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. |
| 4. | Assertion and Reasoning | Other | medium | 1 m. | To evaluate an assertion and its reason by using the sum of the first n multiples of a number to judge whether each statement is true and how they are related. |
| 5. | TBQ - Sum of positive integers | Other | hard | 4 m. | To find the sum of the three-digit multiples of a number by forming an A.P., finding its number of terms and applying the sum formula. |
| 6. | TBQ - Find nth term of Geometric Progression | Other | medium | 3 m. | To apply the nth term formula of a G.P. to find a specific term and to write the general term from a given first term and common ratio. |
| 7. | Find the number of terms of G.P | Other | medium | 3 m. | To apply the nth term formula of a G.P. to find the number of terms by expressing the given terms as powers of a common base. |
| 8. | Case study question | Other | hard | 4 m. | To apply arithmetic progression concepts to determine the pole distances and identify the middle pole(s). |
| 9. | Sierpinski triangle | Other | easy | 1 m. | To apply the explicit rule of a geometric progression to find the number of shaded triangles at any stage of the Sierpiński triangle. |
| 10. | TBQ-Graphical Representation of GP | Other | medium | 3 m. | To determine the explicit formula of a geometric progression and identify its graphical representation as an increasing curve. |