## Podcast Beta

## Questions and Answers

What is the general term of the arithmetic sequence 5, 8, 11, 14, ...?

What is the sum of the first 15 terms of the arithmetic series 3, 7, 11, 15, ...?

What is the common ratio in the geometric sequence 2, 6, 18, 54, ...?

In a geometric progression, if the first term is 3 and the common ratio is 2, what is the third term?

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What is the sum of the first 5 terms of the geometric sequence 2, 6, 18, 54, ...?

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What is the 10th term of the geometric progression 5, 10, 20, 40, ...?

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## Study Notes

### Arithmetic Sequence

- Arithmetic sequence example: 5, 8, 11, 14, ...
- General term of this sequence needs to be determined

### Arithmetic Series

- Example of arithmetic series: 3, 7, 11, 15, ...
- Sum of the first 15 terms of this series needs to be calculated

### Geometric Sequence

- Geometric sequence example: 2, 6, 18, 54, ...
- Common ratio of this sequence is unknown

### Geometric Progression

- Geometric progression with first term 3 and common ratio 2
- Third term of this progression needs to be determined
- Geometric sequence example: 2, 6, 18, 54, ...
- Sum of the first 5 terms of this sequence needs to be calculated
- Geometric progression example: 5, 10, 20, 40, ...
- 10th term of this progression needs to be determined

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## Description

Test your understanding of arithmetic and geometric sequences and series with this quiz based on Class XI NCERT Chapter 8. Answer questions about general terms, sums, and common ratios of sequences.