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Sequences and Series EXERCISE 8.1 Solutions
- Q1: Write the first five terms of the sequence whose nth term is: $a_n = n (n + 2)$
- Q2: Write the first five terms of the sequence whose nth term is: $a_n = \frac{n}{n+1}$
- Q3: Write the first five terms of the sequence whose nth term is: $a_n = 2^n$
- Q4: Write the first five terms of the sequence whose nth term is: $a_n = \frac{2n - 3}{6}$
- Q5: Write the first five terms of the sequence whose nth term is: $a_n = (-1)^{n-1} 5^{n+1}$
- Q6: Write the first five terms of the sequence whose nth term is: $a_n = n \frac{n^2 + 5}{4}$
- Q7: Find the indicated terms in the sequence whose nth term is: $a_n = 4n - 3; a_{17}, a_{24}$
- Q8: Find the indicated term in the sequence whose nth term is: $a_n = \frac{n^2}{2^n}; a_7$
- Q9: Find the indicated term in the sequence whose nth term is: $a_n = (-1)^{n-1}n^3; a_9$
- Q10: Find the indicated term in the sequence whose nth term is: $a_n = \frac{n(n-2)}{n+3}; a_{20}$
- Q11: Write the first five terms of the sequence and obtain the corresponding series: $a_1 = 3, a_n = 3a_{n-1} + 2$ for all $n > 1$
- Q12: Write the first five terms of the sequence and obtain the corresponding series: $a_1 = -1, a_n = \frac{a_{n-1}}{n}, n \ge 2$
- Q13: Write the first five terms of the sequence and obtain the corresponding series: $a_1 = a_2 = 2, a_n = a_{n-1} - 1, n > 2$
- Q14: The Fibonacci sequence is defined by $1 = a_1 = a_2$ and $a_n = a_{n-1} + a_{n-2}, n > 2$. Find $\frac{a_{n+1}}{a_n}$, for $n = 1, 2, 3, 4, 5$
Other Exercises for CBSE - Class 11 Mathematics Sequences and Series
Chapters in CBSE - Class 11 Mathematics
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