H K Dass, Rama Verma and, Bhagwat Swarup Sharma Solutions for Chapter: Arithmetic Progressions, Exercise 1: EXERCISE

Which of the following pattern of the numbers are in arithmetic progression (A.P.)?
$1^2, 5^2, 7^2, 73, ...$ 

The $n\mathrm{th}$ term of a progression is $3n+4$. Is the pattern of numbers, so formed, in A.P.? If so, find its $6\mathrm{th}$ term.

The $n\mathrm{th}$ term of a progression is $3n-8$. Is the pattern of numbers, so formed, in A.P.? If so, find its $16\mathrm{th}$ term.

The $n\mathrm{th}$ term of a progression is  $3n^2+4$. Is the pattern of numbers, so formed in A.P.? 

Show that $P-7, P-10, P-13, P-16, P-19, ...$are in A.P. Find its $8\mathrm{th}$ term and  the common difference.Enable GingerCannot connect to Ginger Check your internet connection
or reload the browserDisable in this text fieldEditEdit in GingerEdit in Ginger×

Find $x$, so that $2x+1, x^2+x+1$ and $3x^2-3x+3$ are consecutive terms of an A.P

Find $a$ and $b$, such that $12, a+b, 2a, b$  are in A.P

Find $p$ and $q$, such that $2p, 2p+q, p+4q, 35$  are in A.P