EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Arthimetic Progressions
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Find the sum of all natural numbers between 1 and 100 which are multiples of 5?
(i)
948
(ii)
953
(iii)
951
(iv)
949
(v)
950
Question
2
2.
If
S
60
and
S
20
of an A.P. are
9330
and
1110
respectively, then
S
80
=
(i)
16438
(ii)
16440
(iii)
16441
(iv)
16443
Question
3
3.
Find the sum of first 95 natural numbers
(i)
4559
(ii)
4561
(iii)
4558
(iv)
4562
(v)
4560
Question
4
4.
Given a =
3
, d =
5
,
S
n
=
731
, find n
(i)
20
(ii)
17
(iii)
18
(iv)
16
(v)
14
Question
5
5.
How many terms of the A.P.
6
,
8
,
10
,
. . .
are needed to
make the sum
500
?
(i)
20
(ii)
22
(iii)
17
(iv)
21
(v)
19
Question
6
6.
The sum of first three terms of an A.P. is
39
while their product is
1989
.
Find the A.P.
(i)
9
,
12
,
15
,
. . .
(ii)
10
,
14
,
18
,
. . .
(iii)
9
,
10
,
11
,
. . .
(iv)
12
,
16
,
20
,
. . .
(v)
9
,
13
,
17
,
. . .
Question
7
7.
Find the next
4
terms of the following A.P.
(
5
a
+
9
b
)
,
(
3
a
+
2
b
)
,
(
a
−
5
b
)
,
. . .
(i)
(
−
3
a
−
19
b
)
,
(
−
5
a
−
26
b
)
,
(
−
7
a
−
33
b
)
,
(
−
9
a
−
40
b
)
(ii)
(
−
6
a
−
21
b
)
,
(
−
8
a
−
28
b
)
,
(
−
10
a
−
35
b
)
,
(
−
12
a
−
42
b
)
(iii)
(
−
a
−
12
b
)
,
(
−
3
a
−
19
b
)
,
(
−
5
a
−
26
b
)
,
(
−
7
a
−
33
b
)
(iv)
(
4
a
−
3
b
)
,
(
2
a
−
10
b
)
,
(
−
17
b
)
,
(
−
2
a
−
24
b
)
(v)
(
6
a
+
4
b
)
,
(
4
a
−
3
b
)
,
(
2
a
−
10
b
)
,
(
−
17
b
)
Question
8
8.
Determine
t
12
of an A.P whose
t
8
is
37
and common difference is
5
(i)
57
(ii)
60
(iii)
56
(iv)
55
(v)
58
Question
9
9.
Given
t
n
=
22
, a =
7
, n =
6
, find
S
n
(i)
86
(ii)
88
(iii)
84
(iv)
87
(v)
90
Question
10
10.
If the
t
n
of an A.P is
(
n
+
2
)
, find
S
n
(i)
(
1
)
(
n
2
+
n
)
2
+
2
n
(ii)
(
3
)
(
n
2
+
n
)
2
+
8
n
(iii)
(
7
)
(
n
2
+
n
)
2
+
9
n
(iv)
(
1
)
(
n
2
+
n
)
2
+
7
n
(v)
(
5
)
(
n
2
+
n
)
2
+
n
Question
11
11.
Given
t
n
=
138
, a =
3
, n =
16
, find d
(i)
8
(ii)
10
(iii)
9
(iv)
6
(v)
12
Question
12
12.
If a =
4
and d =
5
, find
t
6
of the A.P.
(i)
32
(ii)
30
(iii)
29
(iv)
28
(v)
26
Question
13
13.
Insert
2
arithmetic means between
4
9
and
13
9
.
(i)
7
9
,
10
9
(ii)
13
9
,
22
9
(iii)
29
45
,
38
45
(iv)
1
9
,
(
-2
9
)
Question
14
14.
The product of two numbers is
1008
and their arithmetic mean is
33
.
Find the two numbers.
(i)
(
24
,
41
)
(ii)
(
25
,
43
)
(iii)
(
24
,
42
)
(iv)
(
44
,
26
)
(v)
(
27
,
42
)
Question
15
15.
If x
≠
y and the sequences x ,
a
1
,
a
2
, y and x ,
b
1
,
b
2
, y
each are in A.P., then
a
2
−
a
1
b
2
−
b
1
=
(i)
1
(ii)
2
3
(iii)
(
-3
4
)
(iv)
3
2
(v)
4
3
Question
16
16.
The common difference of the A.P.
2
,
6
,
10
,
. . .
=
(i)
4
(ii)
7
(iii)
2
(iv)
3
(v)
5
Question
17
17.
How many terms of the A.P.
8
5
,
69
40
,
37
20
,
. . .
are needed to
make the sum
979
40
?
(i)
12
(ii)
11
(iii)
9
(iv)
13
(v)
10
Question
18
18.
Given
t
n
=
87
, d =
6
, n =
14
, find
S
n
(i)
669
(ii)
672
(iii)
673
(iv)
674
(v)
671
Question
19
19.
Find
t
14
of the A.P.
7
4
,
15
8
,
2
,
. . .
=
(i)
27
8
(ii)
25
8
(iii)
29
8
(iv)
9
2
(v)
27
10
Question
20
20.
The first term of the A.P.
1
,
4
,
7
,
10
,
13
,
. . .
=
(i)
13
(ii)
4
(iii)
10
(iv)
1
(v)
7
Question
21
21.
Find the common difference and next four terms of the
following A.P.
6
5
,
23
15
,
28
15
,
. . .
=
(i)
1
3
;
11
5
,
38
15
,
43
15
,
16
5
(ii)
1
1
3
;
(
-4
5
)
,
(
-22
15
)
,
(
-32
15
)
,
(
-14
5
)
(iii)
1
1
3
;
26
5
,
98
15
,
118
15
,
46
5
(iv)
1
1
3
;
11
5
,
38
15
,
43
15
,
16
5
Question
22
22.
Given a =
7
, d =
2
, n =
5
, find
t
n
(i)
18
(ii)
15
(iii)
13
(iv)
16
(v)
14
Question
23
23.
The
t
16
of an A.P. is
125
28
and the
t
10
is
83
28
.
Find
t
20
.
(i)
155
28
(ii)
153
28
(iii)
51
10
(iv)
151
28
(v)
153
26
Question
24
24.
Which term of the A.P.
5
8
,
7
8
,
9
8
,
. . .
is
43
8
?
(i)
t
21
(ii)
t
20
(iii)
t
19
(iv)
t
22
(v)
t
17
Question
25
25.
Find the sum of the following A.P. series
(
5
x
+
5
y
)
,
(
3
x
+
3
y
)
,
(
x
+
y
)
. . .
to
8
terms
(i)
(
−
16
x
−
16
y
)
(ii)
(
−
54
x
−
54
y
)
(iii)
(
−
44
x
−
44
y
)
(iv)
(
−
9
x
−
9
y
)
(v)
(
−
5
x
−
5
y
)
Assignment Key
1) (v)
2) (ii)
3) (v)
4) (ii)
5) (i)
6) (v)
7) (iii)
8) (i)
9) (iv)
10) (i)
11) (iii)
12) (iii)
13) (i)
14) (iii)
15) (i)
16) (i)
17) (ii)
18) (ii)
19) (i)
20) (iv)
21) (i)
22) (ii)
23) (ii)
24) (ii)
25) (i)
