CBSE - Class 10 Mathematics Arithmetic Progression Worksheet
EXERCISE 5.2
1.
For what value of $n$, are the $n$th terms of two APs: 63, 65, 67, . . . and 3, 10, 17, . . . equal?
2.
Fill in the blanks in the following table, given that $a$ is the first term, $d$ the common difference and $a_n$ the $n$th term of the AP: (iv) $a=–18.9, d=2.5, n=..., a_n=3.6$
3.
In the following APs, find the missing terms in the boxes : (iii) 5, ☐, ☐, $9\frac{1}{2}$
4.
The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of the AP.
5.
Fill in the blanks in the following table, given that $a$ is the first term, $d$ the common difference and $a_n$ the $n$th term of the AP: (i) $a=7, d=3, n=8, a_n=...$
6.
In the following APs, find the missing terms in the boxes : (v) ☐, 38, ☐, ☐, ☐, – 22
7.
Fill in the blanks in the following table, given that $a$ is the first term, $d$ the common difference and $a_n$ the $n$th term of the AP: (v) $a=3.5, d=0, n=105, a_n=...$
8.
In the following APs, find the missing terms in the boxes : (iv) – 4, ☐, ☐, ☐, ☐, 6
9.
Choose the correct choice in the following and justify : (ii) 11th term of the AP: – 3, $-\frac{1}{2}$, 2, . . ., is
a.
A) 28
b.
B) 22
c.
C) –38
d.
D) $-48\frac{1}{2}$
10.
Find the number of terms in each of the following APs : (ii) 18, $15\frac{1}{2}$, 13, . . . , – 47
11.
Find the number of terms in each of the following APs : (i) 7, 13, 19, . . . , 205
12.
Two APs have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms?
13.
In the following APs, find the missing terms in the boxes : (ii) ☐, 13, ☐, 3
14.
How many three-digit numbers are divisible by 7?
15.
An AP consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term.
16.
Check whether – 150 is a term of the AP : 11, 8, 5, 2 . . .
17.
Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.
18.
Fill in the blanks in the following table, given that $a$ is the first term, $d$ the common difference and $a_n$ the $n$th term of the AP: (ii) $a=–18, d=..., n=10, a_n=0$
19.
Choose the correct choice in the following and justify : (i) 30th term of the AP: 10, 7, 4, . . . , is
a.
97
b.
77
c.
–77
d.
–87
20.
Which term of the AP : 3, 15, 27, 39, . . . will be 132 more than its 54th term?
