EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Arthimetic Progressions
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
The
t
16
of an A.P. is
125
and the
t
10
is
77
.
Find
t
11
.
(i)
87
(ii)
82
(iii)
85
(iv)
84
(v)
86
Question
2
2.
Determine
t
11
of an A.P whose
t
8
is
97
42
and common difference is
1
6
(i)
59
19
(ii)
59
23
(iii)
19
7
(iv)
59
21
(v)
61
21
Question
3
3.
Given
t
n
=
38
, n =
9
,
S
n
=
198
, find d
(i)
2
(ii)
5
(iii)
6
(iv)
3
(v)
4
Question
4
4.
Find
t
n
of the A.P
2
,
7
,
12
,
. . .
(i)
(
5
n
−
3
)
(ii)
(
4
n
−
3
)
(iii)
(
5
n
+
2
)
(iv)
(
5
n
−
1
)
(v)
(
7
n
−
3
)
Question
5
5.
The first term of the A.P.
4
9
,
11
18
,
7
9
,
17
18
,
10
9
,
. . .
=
(i)
4
9
(ii)
17
18
(iii)
10
9
(iv)
7
9
(v)
11
18
Question
6
6.
Find
t
n
of the A.P
7
,
16
,
25
,
34
,
43
,
. . .
(i)
(
10
n
−
2
)
(ii)
(
5
n
−
2
)
(iii)
(
9
n
−
2
)
(iv)
(
9
n
+
5
)
(v)
(
9
n
+
7
)
Question
7
7.
The sum of first n natural number is
(i)
(
n
−
1
)
(
n
+
1
)
2
(ii)
(
n
)
(
n
−
1
)
2
(iii)
n
2
(
n
+
1
)
2
4
(iv)
(
n
)
(
n
+
1
)
(
2
n
+
1
)
6
(v)
(
n
)
(
n
+
1
)
2
Question
8
8.
Given a =
3
, d =
4
, n =
12
, find
t
n
(i)
46
(ii)
44
(iii)
47
(iv)
50
(v)
48
Question
9
9.
Given a =
2
, d =
8
, n =
16
, find
S
n
(i)
994
(ii)
993
(iii)
991
(iv)
989
(v)
992
Question
10
10.
The common difference of the A.P.
1
6
,
5
12
,
2
3
,
. . .
=
(i)
1
4
(ii)
1
6
(iii)
1
2
(iv)
3
4
(v)
(
-1
4
)
Question
11
11.
Find
t
10
of the A.P.
7
9
,
10
9
,
13
9
,
. . .
=
(i)
34
11
(ii)
4
(iii)
34
7
(iv)
32
9
(v)
34
9
Question
12
12.
Find
t
n
of the A.P
3
7
,
34
63
,
41
63
,
16
21
,
55
63
,
. . .
(i)
(
1
9
n
+
20
63
)
(ii)
(
1
9
n
+
47
63
)
(iii)
(
−
26
9
n
+
20
63
)
(iv)
(
1
9
n
+
3
7
)
(v)
(
10
9
n
+
20
63
)
Question
13
13.
Find the common difference and next four terms of the
following A.P.
5
2
,
3
,
7
2
,
. . .
=
(i)
1
1
2
;
7
,
17
2
,
10
,
23
2
(ii)
1
1
2
;
4
,
9
2
,
5
,
11
2
(iii)
1
2
;
4
,
9
2
,
5
,
11
2
(iv)
1
1
2
;
1
,
1
2
,
0
,
(
-1
2
)
Question
14
14.
Find the sum of all natural numbers between 100 and 200 which are multiples of 8?
(i)
1773
(ii)
1776
(iii)
1775
(iv)
1777
(v)
1779
Question
15
15.
Determine
t
17
of an A.P whose
t
12
is
15
and common difference is
1
(i)
20
(ii)
21
(iii)
17
(iv)
19
(v)
23
Question
16
16.
Find the next
4
terms of the following A.P.
(
−
7
a
−
8
b
)
,
(
−
14
a
−
9
b
)
,
(
−
21
a
−
10
b
)
,
. . .
(i)
(
−
35
a
−
12
b
)
,
(
−
42
a
−
13
b
)
,
(
−
49
a
−
14
b
)
,
(
−
56
a
−
15
b
)
(ii)
(
−
21
a
−
3
b
)
,
(
−
28
a
−
4
b
)
,
(
−
35
a
−
5
b
)
,
(
−
42
a
−
6
b
)
(iii)
(
−
35
a
−
19
b
)
,
(
−
42
a
−
20
b
)
,
(
−
49
a
−
21
b
)
,
(
−
56
a
−
22
b
)
(iv)
(
−
28
a
−
11
b
)
,
(
−
35
a
−
12
b
)
,
(
−
42
a
−
13
b
)
,
(
−
49
a
−
14
b
)
(v)
(
−
28
a
−
18
b
)
,
(
−
35
a
−
19
b
)
,
(
−
42
a
−
20
b
)
,
(
−
49
a
−
21
b
)
Question
17
17.
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)
2
3
(ii)
(
-3
4
)
(iii)
4
3
(iv)
3
2
(v)
1
Question
18
18.
Find
S
20
of the A.P.
8
,
13
,
18
,
. . .
=
(i)
1110
(ii)
1107
(iii)
1113
(iv)
1109
(v)
1111
Question
19
19.
Given a =
2
, d =
8
,
S
n
=
1122
, find n
(i)
14
(ii)
16
(iii)
17
(iv)
18
(v)
20
Question
20
20.
If a =
21
and b =
25
,
the arithmetic mean of a and b =
(i)
22
(ii)
24
(iii)
23
(iv)
20
(v)
26
Question
21
21.
If the
t
n
of an A.P is
(
3
n
+
7
)
, find
S
n
(i)
(
7
)
(
n
2
+
n
)
2
+
4
n
(ii)
(
2
)
(
n
2
+
n
)
2
+
8
n
(iii)
(
3
)
(
n
2
+
n
)
2
+
7
n
(iv)
(
4
)
(
n
2
+
n
)
2
+
5
n
(v)
(
4
)
(
n
2
+
n
)
2
+
6
n
Question
22
22.
The product of two numbers is
1505
and their arithmetic mean is
39
.
Find the two numbers.
(i)
(
35
,
43
)
(ii)
(
36
,
44
)
(iii)
(
35
,
42
)
(iv)
(
38
,
43
)
(v)
(
45
,
37
)
Question
23
23.
If a =
41
10
and b =
9
2
,
the arithmetic mean of a and b =
(i)
9
2
(ii)
43
8
(iii)
43
10
(iv)
41
10
(v)
43
12
Question
24
24.
Determine k so that
(
7
k
+
8
)
,
(
3
k
+
3
)
and
(
2
k
+
6
)
are the consecutive terms of an A.P
(i)
-2
(ii)
(
-8
3
)
(iii)
(
-10
3
)
(iv)
(
-12
5
)
(v)
-4
Question
25
25.
The sum of first three terms of an A.P. is
23
15
while their product is
1288
10125
.
Find the A.P.
(i)
4
5
,
41
45
,
46
45
,
. . .
(ii)
2
5
,
19
35
,
24
35
,
. . .
(iii)
2
5
,
23
45
,
28
45
,
. . .
(iv)
2
5
,
13
45
,
8
45
,
. . .
(v)
2
7
,
25
63
,
32
63
,
. . .
Assignment Key
1) (iii)
2) (iv)
3) (v)
4) (i)
5) (i)
6) (iii)
7) (v)
8) (iii)
9) (v)
10) (i)
11) (v)
12) (i)
13) (iii)
14) (ii)
15) (i)
16) (iv)
17) (v)
18) (i)
19) (iii)
20) (iii)
21) (iii)
22) (i)
23) (iii)
24) (ii)
25) (iii)
