R. D. Sharma Solutions for Chapter: Arithmetic Progression, Exercise 3: EXERCISE 5.3

Find the common difference of the following arithmetic progression:

$a+b, (a+1)+b, (a+1)+(b+1), (a+2)+(b+1), (a+2)+(b+2),\dots$

Is the sequence $1^2, 3^2, 5^2, 7^2,\dots$ in arithmetic progression? $\left(\mathrm{Yes}/\mathrm{No}\right)$

Find the common difference of the arithmetic progression $1^2, 5^2, 7^2, 73, .....$.

Find the common difference of the A.P. and then find the sum of next two terms $\left(a_5+a_6=?\right)$ of A.P., where $a_n$ denotes the $n^{\mathrm{th}}$ term of A.P. (Write numeral value as the final answer.)

$51, 59, 67, 75,\dots$

Find the sum of $5^{\mathrm{th}}$ and $6^{\mathrm{th}}$ term of the given A.P., $75, 67, 59, 51,\dots$.

Find the common difference of the $A.P.$ and write the next two terms:

$1.8,2.0,2.2,2.4,\dots$

Find $(a_5+a_6)$ ? (Write numeral value as final answer.)

Find the common difference of the $A.P.$ and write the next two terms:

$0,\frac{1}{4},\frac{1}{2},\frac{3}{4},\dots$

If the fifth term is $u$, then find the value of $5u$.

Find the common difference of the A.P. and write the next two terms.

$119, 136, 153, 170, \dots$