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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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Exercise 9.2 class11th science
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