EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Arthimetic Progressions
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Given a =
9
, d =
6
, n =
19
, find
S
n
(i)
1196
(ii)
1198
(iii)
1199
(iv)
1197
(v)
1195
Question
2
2.
Find the sum of the following A.P. series
(
3
x
+
2
y
)
,
(
6
x
+
10
y
)
,
(
9
x
+
18
y
)
. . .
to
6
terms
(i)
(
48
x
+
98
y
)
(ii)
(
42
x
+
82
y
)
(iii)
(
63
x
+
132
y
)
(iv)
(
48
x
+
116
y
)
(v)
(
42
x
+
112
y
)
Question
3
3.
Which term of the A.P.
9
,
16
,
23
,
. . .
is
121
?
(i)
t
15
(ii)
t
20
(iii)
t
16
(iv)
t
17
(v)
t
18
Question
4
4.
The sum of first three terms of an A.P. is
15
7
while their product is
120
343
.
Find the A.P.
(i)
4
7
,
27
35
,
34
35
,
. . .
(ii)
4
9
,
37
63
,
46
63
,
. . .
(iii)
4
7
,
3
7
,
2
7
,
. . .
(iv)
4
7
,
5
7
,
6
7
,
. . .
(v)
6
7
,
1
,
8
7
,
. . .
Question
5
5.
If a =
15
8
and b =
19
8
,
the arithmetic mean of a and b =
(i)
15
8
(ii)
17
8
(iii)
19
8
(iv)
17
10
(v)
17
6
Question
6
6.
The
t
2
of an A.P is
p
and
t
3
is
q
.
Find
t
18
and
t
n
.
(i)
(
−
14
p
+
15
q
)
,
(
−
p
n
+
3
p
+
q
n
−
2
q
)
(ii)
(
−
16
p
+
17
q
)
,
(
−
p
n
+
2
p
+
q
n
−
q
)
(iii)
(
−
13
p
+
15
q
)
,
(
−
p
n
+
5
p
+
q
n
−
3
q
)
(iv)
(
−
15
p
+
16
q
)
,
(
−
p
n
+
3
p
+
q
n
−
2
q
)
(v)
(
−
15
p
+
16
q
)
,
(
−
p
n
+
p
+
q
n
−
q
)
Question
7
7.
The sum of first three terms of an A.P. is
33
while their product is
1155
.
Find the A.P.
(i)
7
,
10
,
13
,
. . .
(ii)
7
,
8
,
9
,
. . .
(iii)
8
,
12
,
16
,
. . .
(iv)
10
,
14
,
18
,
. . .
(v)
7
,
11
,
15
,
. . .
Question
8
8.
Find the sum of all natural numbers between 100 and 200 which are multiples of 9?
(i)
1682
(ii)
1683
(iii)
1685
(iv)
1684
(v)
1680
Question
9
9.
Insert
2
arithmetic means between
4
7
and
53
56
.
(i)
25
56
,
9
28
(ii)
39
56
,
23
28
(iii)
47
70
,
27
35
(iv)
53
56
,
37
28
(v)
31
42
,
19
21
Question
10
10.
Given a =
7
, d =
2
, n =
18
, find
t
n
(i)
44
(ii)
40
(iii)
41
(iv)
42
(v)
38
Question
11
11.
The sum of first n natural number is
(i)
(
n
)
(
n
+
1
)
2
(ii)
(
n
)
(
n
+
1
)
(
2
n
+
1
)
6
(iii)
(
n
−
1
)
(
n
+
1
)
2
(iv)
(
n
)
(
n
−
1
)
2
(v)
n
2
(
n
+
1
)
2
4
Question
12
12.
Given a =
4
, d =
6
,
S
n
=
784
, find n
(i)
16
(ii)
17
(iii)
14
(iv)
18
(v)
15
Question
13
13.
If the
t
n
of an A.P is
(
2
n
+
6
)
, find
S
n
(i)
(
5
)
(
n
2
+
n
)
2
+
n
(ii)
(
2
)
(
n
2
+
n
)
2
+
6
n
(iii)
(
1
)
(
n
2
+
n
)
2
+
9
n
(iv)
(
9
)
(
n
2
+
n
)
2
+
2
n
(v)
(
5
)
(
n
2
+
n
)
2
+
2
n
Question
14
14.
Find
t
9
of the A.P.
4
7
,
39
56
,
23
28
,
. . .
=
(i)
11
7
(ii)
11
5
(iii)
9
7
(iv)
13
7
(v)
11
9
Question
15
15.
Find
t
n
of the A.P
6
,
9
,
12
,
. . .
(i)
(
−
n
+
3
)
(ii)
(
3
n
+
6
)
(iii)
(
3
n
+
3
)
(iv)
(
3
n
+
9
)
(v)
(
4
n
+
3
)
Question
16
16.
Determine
t
8
of an A.P whose
t
16
is
49
12
and common difference is
1
4
(i)
5
2
(ii)
9
4
(iii)
23
12
(iv)
25
12
(v)
25
14
Question
17
17.
The first term of the A.P.
4
,
9
,
14
,
19
,
24
,
. . .
=
(i)
24
(ii)
14
(iii)
4
(iv)
9
(v)
19
Question
18
18.
Determine k so that
(
4
k
+
5
)
,
(
3
k
+
6
)
and
(
9
k
+
4
)
are the consecutive terms of an A.P
(i)
1
3
(ii)
3
7
(iii)
1
7
(iv)
5
7
(v)
3
5
Question
19
19.
Find the common difference and next four terms of the
following A.P.
3
,
12
,
21
,
. . .
=
(i)
9
;
30
,
39
,
48
,
57
(ii)
10
;
27
,
35
,
43
,
51
(iii)
10
;
30
,
39
,
48
,
57
(iv)
10
;
33
,
43
,
53
,
63
Question
20
20.
Find the sum of first 97 natural numbers
(i)
4752
(ii)
4755
(iii)
4751
(iv)
4753
(v)
4754
Question
21
21.
Given a =
8
, d =
9
,
S
n
=
583
, find
t
n
(i)
98
(ii)
99
(iii)
101
(iv)
97
(v)
95
Question
22
22.
If
S
80
and
S
40
of an A.P. are
7040
and
1920
respectively, then
S
120
=
(i)
15361
(ii)
15358
(iii)
15360
(iv)
15362
Question
23
23.
If there are n arithmetic means between a and b, the common difference d =
(i)
(
b
−
a
)
(
n
+
1
)
(ii)
(
n
−
1
)
(
a
+
b
)
(iii)
(
a
−
b
)
(
n
+
1
)
(iv)
(
b
−
a
)
(
n
−
1
)
(v)
(
a
+
b
)
(
n
+
1
)
Question
24
24.
Which term of the A.P.
2
7
,
25
63
,
32
63
,
. . .
is
74
63
?
(i)
t
12
(ii)
t
9
(iii)
t
6
(iv)
t
10
(v)
t
8
Question
25
25.
The
t
6
of an A.P. is
31
and the
t
20
is
101
.
Find
t
15
.
(i)
77
(ii)
76
(iii)
75
(iv)
73
(v)
78
Assignment Key
1) (iv)
2) (iii)
3) (iv)
4) (iv)
5) (ii)
6) (iv)
7) (v)
8) (ii)
9) (ii)
10) (iii)
11) (i)
12) (i)
13) (ii)
14) (i)
15) (iii)
16) (iv)
17) (iii)
18) (ii)
19) (i)
20) (iv)
21) (i)
22) (iii)
23) (i)
24) (ii)
25) (ii)
