Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction to geometric progression | To learn about the concept of geometric progression and its explicit, recursive rule |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Check the sequence is G.P or not | Other | easy | 4 m. | To analyse given sequences by comparing the ratios of successive terms and classify each as a G.P. or not a G.P. |
| 2. | Formation of Geometric Progression | Other | easy | 3 m. | To apply the formula for the nth term of a G.P. to generate its first terms from a given first term and common ratio. |
| 3. | Assertion and Reasoning | Other | easy | 1 m. | To evaluate an assertion and its reason by using the constant ratio property of a G.P. to find the value of x and to judge whether each statement is true. |
| 4. | 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. |
| 5. | TBQ - Explicit and Recursive Rule for G.P | Other | medium | 6 m. | To apply the nth term formula of a G.P. to find the position of a given term and to write its explicit and recursive rules from the first term and common ratio. |
| 6. | 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. |
| 7. | Geometric Progression Sequence | Other | hard | 5 m. | To apply the nth term formula of a G.P. to form two equations from the given terms and solve them for the first term and the common ratio, in order to construct the G.P |
| 8. | Case Study Question | Other | hard | 4 m. | To apply the nth term formula of a G.P. to model the yearly depreciation of a machine, by finding the retention percentage, the common ratio and the explicit rule. |