Maharashtra Board Solutions for Chapter: Arithmetic Progression, Exercise 2: Practice Set

Write the correct number in the given blanks from the following $\mathrm{A}.\mathrm{P}.$

$1,8,15,22$

Here $a=\_\_\_\_, t_1=\_\_\_\_, t_2=\_\_\_\_,t_3=\_\_\_\_,$

$t_2-t_1=\_\_\_\_-\_\_\_\_=\_\_\_\_$

$t_3-t_2=\_\_\_\_-\_\_\_\_=\_\_\_\_ \therefore d=\_\_\_\_$

Write the correct number in the given blanks from the following $\mathrm{A}.\mathrm{P}.$

$3,6,9,12$

Here $t_1=\_\_\_\_, t_2=\_\_\_\_,t_3=\_\_\_\_,t_4=\_\_\_\_,$

$t_2-t_1=\_\_\_\_, t_3-t_2=\_\_\_\_ \therefore d=\_\_\_\_$

Write the correct number in the given blanks from the following $\mathrm{A}.\mathrm{P}.$

$-3,-8,-13,-18$

Here $t_3=\_\_\_\_, t_2=\_\_\_\_,t_4=\_\_\_\_,t_1=\_\_\_\_,$

$t_2-t_1=\_\_\_\_, t_3-t_2=\_\_\_\_ \therefore a\_\_\_\_, d=\_\_\_\_$

Write the correct number in the given blanks from the following $\mathrm{A}.\mathrm{P}.$

$70,60,50,40$

Here $t_1=\_\_\_\_, t_2=\_\_\_\_,t_3=\_\_\_\_,....$

$\therefore a\_\_\_\_, d=\_\_\_\_$

Decide whether following sequence is an $\mathrm{A}.\mathrm{P}.$, if so find the $20\mathrm{th}$ term of the progression.

$-12,-5,2,9,16,23,30,.....$

Given arithmetic progression $12,16,20,24,....$ Find the $24\mathrm{th}$ term of this progression.

In the natural numbers from $10$ to $250$, how many are divisible by $4$?

In an A.P. ${17}^{\mathrm{th}}$ term is $7$ more than its ${10}^{\mathrm{th}}$ term. Find the common difference.