Sample QuestionsP-1 Arithmetic Progression questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Choose the correct alternative answer for each of the following sub questions.
$15, 10, 5, ......$ In this $A.P.$ sum of first $10$ terms is $........$
Answer: A.
View full solution →Choose the correct alternative answer for each of the following sub questions. Sum of first five multiples of $3$ is$. . .$
Answer: A.
View full solution →Choose the correct alternative answer for each of the following sub questions.
If for any A.P. $d = 5$ then $t_{18} – t_{13}$ = ...
A. $5$
B. $20$
C. $25$
D. $30$
View full solution →Choose the correct alternative answer for each of the following sub questions.
In an A.P. first two terms are $– 3, 4$ then $21^{st}$ term is . . .
A. $– 143$
B. $143$
C. $137$
D. $17$
View full solution →Choose the correct alternative answer for each of the following sub questions.
For an given $A.P.\ a = 3.5$, $d = 0$, $n = 101$, then $t_n = .....$
- A
$0$
- ✓
$3.5$
- C
$103.5$
- D
$104.5$
Answer: B.
View full solution →Complete the following activity to find the sum of natural numbers from 1 to 140 which are divisible by 4.
Sum of numbers from 1 to 140, which are divisible by 4 = $\square$ View full solution →First term and common difference of an A.P. are 6 and 3 respectively ; find $S_{27}$.
$a=6, d=3, s_{27}=?$
$ S _{ n } =\frac{ n }{2}[\square+( n -1) d ] $
$ S _{27} =\frac{27}{2}[12+(27-1) \square] $
$ =\frac{27}{2} \times \square $
$ =27 \times 45=\square$
View full solution →Write the correct number in the given boxes from the following $A. P.$
$70, 60, 50, 40, . . .$
Here $t _1=\square, t _2=\square, t _3=\square, \ldots$
$\therefore a =\square, d =\square$
View full solution →Write the correct number in the given boxes from the following A. P.
– 3, – 8, – 13, – 18, . . .
$\text { Here } t _3=\square, t _2=\square, t _4=\square, t _1=\square $
$ t _2- t _1=\square, t _3- t _2=\square $
$ \therefore a =\square, d =\square$
View full solution →Write the correct number in the given boxes from the following A. P.
3, 6, 9, 12, . . .
$\text { Here } t _1=\square, t _2=\square, t _3=\square, t _4=\square, $
$ t _2- t _1=\square, t _3- t _2=\square$
$\therefore d =\square$
View full solution →Write an A.P. whose first term is a and common difference is d in each of the following.
$a = 10, d = 5$
View full solution →Which of the following sequences are A.P. ? If they are A.P. find the common difference.
$127, 132, 137, . . .$
View full solution →Which of the following sequences are A.P. ? If they are A.P. find the common difference.
$3,3+\sqrt{2}, 3+2 \sqrt{2}, 3+3 \sqrt{2}, \ldots$
View full solution →Which of the following sequences are A.P. ? If they are A.P. find the common difference.
$-\frac{1}{5},-\frac{1}{5},-\frac{1}{5}, \ldots$
View full solution →The given sequence is AP or not ? If they are A.P. find the common difference.
$0, – 4, – 8, – 12, . . .$
View full solution →Find how many three digit natural numbers are divisible by 5.
Find the 27th term of the following A.P.
$9, 4, – 1, – 6, – 11, . . .$
View full solution →Find the 19th term of the following A.P.
$7, 13, 19, 25, . . .$
View full solution →Given Arithmetic Progression $12, 16, 20, 24, . . .$ Find the $24th$ term of this progression.
View full solution →Decide whether following sequence is an A.P., if so find the $20th$ term of the progression.
$– 12, – 5, 2, 9, 16, 23, 30, . . .$
View full solution →On the world environment day tree plantation programme was arranged on a land which is triangular in shape. Trees are planted such that in the first row there is one tree, in the second row there are two trees, in the third row three trees and so on. Find the total number of trees in the 25 rows.
Kargil's temperature was recorded in a week from Monday to Saturday. All readings were in A.P. The sum of temperatures of Monday and Saturday was $5^{\circ} C$ more than sum of temperatures of Tuesday and Saturday. If temperature of Wednesday was $-30^{\circ}$ celsius then find the temperature on the other five days.
View full solution →There is an auditorium with 27 rows of seats. There are 20 seats in the first row, 22 seats in the second row, 24 seats in the third row and so on. Find the number of seats in the 15th row and also find how many total seats are there in the auditorium?
Sachin invested ina national saving certificate scheme. In the first year he invested ₹ 5000, in the second year ₹ 7000, in the third year ₹ 9000 and so on. Find the total amount that he invested in 12 years.
A man borrows ₹ 8000 and agrees to repay with a total interest of ₹ 1360 in 12 monthly instalments. Each instalment being less than the preceding one by ₹ 40. Find the amount of the first and last instalment.