R. D. Sharma Solutions for Chapter: Arithmetic Progression, Exercise 1: EXERCISE 5.1

Write the first five terms of the following sequence whose $n^{th}$ term is:

$a_n=\frac{n(n-2)}{2}$.

Find $a_5 \mathrm{and} a_8$ terms of the sequence whose $n^{\mathrm{th}}$ term is $a_n=n(n-1)(n-2)$.

Find $a_1, a_2, a_3$ terms in the sequence whose $n^{\mathrm{th}}$ term is $a_n=(n-1)(2-n)(3+n)$.

Find the indicated terms in the following sequence whose $n^{th}$ term is $a_n={(-1)}^{n}n; a_3, a_5, a_8$

Find the next five terms of the following sequence:

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

Find the next five terms of the following sequence:

$a_1=a_2=2, a_n=a_{n-1}-3, n>2$

Find the next five terms of the following sequence:

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

Find the next five terms of the following sequence:

$a_1=4, a_n=4a_{n-1}+3, n>1$