R. D. Sharma Solutions for Chapter: Arithmetic Progression, Exercise 2: EXERCISE 5.2

Write the sequence with $n^{\text{th}}$ term $a_n=3+4n$. Show that the sequence forms $A.P.$

Write the sequence with $n^{\mathrm{th}}$ term $a_n=5+2n$. Show that the sequence forms A.P.

Write the sequence with $n^{\text{th}}$ term $a_n=6-n$.

Show that the above sequence forms AP.

Write the sequence with $n$th term:
$a_n=9-5n$

Show that the sequence form A.P.

The $n^{\mathrm{th}}$ term of an A.P. is $6n+2$. Find the common difference.

Justify whether it is true to say that the given sequence is an A.P.
$a_n=2n-1$

Justify whether it is true to say that the sequence having following $n^{th}$ term is an A.P.
$a_n=3n^2+5$

Justify whether it is true to say that the sequence having following $n^{th}$ term is an A.P.
$a_n=1+n+n^2$,