M L Aggarwal Solutions for Chapter: Sequences and Series, Exercise 1: EXERCISE 10.1

Find the indicated term(s) in the following sequence whose $n^{th}$ term is:

$a_n=4n-3; a_{17}, a_{24}$

Find the indicated term(s) in the given sequence whose $n^{th}$ term is:

$a_n=(-1{)}^{n-1}{n}^3; a_9$

Find the ${18}^{th}$ and ${25}^{th}$ terms of the sequence defined by $T_n=\left\{\begin{array}{l}n\left(n+2\right),\text{ if }\dot{n}\text{ is even natural number }\\ \frac{4n}{n^2+1},\text{ if }n\text{ is odd natural number}\end{array}\right.$.

Find the first five terms of the following sequence and obtain the corresponding series:

$a_1=1, a_n=a_{n-1}+2, n\ge 2$

Find the first five terms of the following sequence and obtain the corresponding series:

$a_1=3, a_n=3a_{n-1}+2$, for all $n>1$

Find the first five terms of the following sequence and obtain the corresponding series:

$a_1=a_2=2, a_n=a_{n-1}$ for all $n>2$ 

If the sum of $n$ terms of a sequence is given by $S_n=2n^2+3n$ for all $n\in N,$ find the first $4$ terms. Also find its ${20}^{th}$ term.

First term of a sequence is $1$ and the $(n+1{)}^{th}$ term is obtained by adding $(n+1)$ to the $n^{th}$ term for all natural numbers $n$. Find the sixth term of the sequence.