NCERT Solutions class-11 Maths Exercise 9.1

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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, 17th and 24th terms are 65 and 93 respectively.


8.

Ans. Given:

Therefore, 7th term is


9.

Ans. Given:

Therefore, 9th term is 729.


10.

Ans. Given:

Therefore, 20th 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

For

For

For

For


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