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**Exercise 9.1**

**Write the first five terms of each of the sequences in Exercises 1 to 6 whose terms are:**

**1. **

**Ans. **Given:

Putting and 5, we get,

Therefore, the first five terms are 3, 8, 15, 24 and 35.

**2. **

**Ans. **Given:

Putting and 5, we get,

Therefore, the first five terms are and

**3. **

**Ans. **Given:

Putting and 5, we get,

Therefore, the first five terms are 2, 4, 8, 16 and 32.

**4. **

**Ans. **Given:

Putting and 5, we get,

Therefore, the first five terms are and

**5. **

**Ans. **Given:

Putting and 5, we get,

Therefore, the first five terms are and

**6. **

**Ans. **Given:

Putting and 5, we get,

Therefore, the first five terms are and

**Find the indicated terms in each of the sequences in Exercises 7 to 10 where terms are:**

**7. **

**Ans. **Given:

Therefore, 17^{th} and 24^{th} terms are 65 and 93 respectively.

**8. **

**Ans. **Given:

Therefore, 7^{th} term is

**9. **

**Ans. **Given:

Therefore, 9^{th} term is 729.

**10. **

**Ans. **Given:

Therefore, 20^{th} term is .

**Write the first five terms of each of the sequences in Exercises 11 to 13 and obtain the corresponding series:**

**11. for all **

**Ans. **Given: for all

Putting and 5, we get

Therefore, corresponding series is3 + 11 + 35 + 107 + 323 + ……….

**12. **

**Ans. **Given:

Putting and 5, we get

Therefore, corresponding series is

**13. **

**Ans. **Given:

Putting and 5, we get

Therefore, corresponding series is

**14. The Fibonacci sequence is defined by and Find for **

**Ans. **Given: and

Putting 3, 4, 5 and 6, we have

Now,

For

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For

For

For

Exercise 9.2 class11th science

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