EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Arthimetic Progressions
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Find
t
n
of the A.P
5
,
11
,
17
,
. . .
(i)
(
9
n
−
1
)
(ii)
(
6
n
−
1
)
(iii)
(
6
n
+
4
)
(iv)
(
6
n
+
5
)
(v)
(
4
n
−
1
)
Question
2
2.
Given
t
n
=
67
, n =
14
,
S
n
=
483
, find d
(i)
2
(ii)
8
(iii)
4
(iv)
6
(v)
5
Question
3
3.
Given a =
5
, d =
4
,
S
n
=
702
, find
t
n
(i)
72
(ii)
73
(iii)
76
(iv)
71
(v)
74
Question
4
4.
Find
t
n
of the A.P
8
,
13
,
18
,
23
,
28
,
. . .
(i)
(
3
n
+
3
)
(ii)
(
5
n
+
3
)
(iii)
(
5
n
+
8
)
(iv)
(
6
n
+
3
)
(v)
(
5
n
+
11
)
Question
5
5.
If a =
1
6
and d =
1
3
, find
t
9
of the A.P.
(i)
17
6
(ii)
5
2
(iii)
17
4
(iv)
17
8
(v)
19
6
Question
6
6.
Determine
t
12
of an A.P whose
t
16
is
111
14
and common difference is
1
2
(i)
83
12
(ii)
83
16
(iii)
85
14
(iv)
81
14
(v)
83
14
Question
7
7.
The common difference of the A.P.
2
,
11
,
20
,
. . .
=
(i)
11
(ii)
9
(iii)
10
(iv)
7
(v)
8
Question
8
8.
Which term of the A.P.
8
,
10
,
12
,
. . .
is
40
?
(i)
t
18
(ii)
t
17
(iii)
t
14
(iv)
t
16
(v)
t
20
Question
9
9.
The
t
13
of an A.P. is
90
and the
t
14
is
97
.
Find
t
8
.
(i)
54
(ii)
57
(iii)
55
(iv)
56
(v)
53
Question
10
10.
The measures of the interior angles of a convex polygon are in A.P.
If the smallest angle is
125
and the largest angle is
155
,
then the number of sides of the polygon is
(i)
8
(ii)
7
(iii)
11
(iv)
10
(v)
9
Question
11
11.
The product of two numbers is
20687
and their arithmetic mean is
144
.
Find the two numbers.
(i)
(
138
,
152
)
(ii)
(
137
,
150
)
(iii)
(
137
,
151
)
(iv)
(
153
,
139
)
(v)
(
140
,
151
)
Question
12
12.
Given
t
n
=
110
, d =
6
, n =
19
, find
S
n
(i)
1066
(ii)
1065
(iii)
1063
(iv)
1064
(v)
1061
Question
13
13.
Insert
4
arithmetic means between
2
and
27
.
(i)
5
,
8
,
11
,
14
(ii)
7
,
12
,
17
,
22
(iii)
8
,
14
,
20
,
26
(iv)
6
,
10
,
14
,
18
(v)
9
,
16
,
23
,
30
Question
14
14.
Determine k so that
(
5
k
+
8
)
,
(
2
k
+
5
)
and
(
3
k
+
3
)
are the consecutive terms of an A.P
(i)
1
4
(ii)
(
-1
2
)
(iii)
(
-1
6
)
(iv)
(
-1
4
)
(v)
(
-3
4
)
Question
15
15.
How many terms of the A.P.
9
,
10
,
11
,
. . .
are needed to
make the sum
117
?
(i)
8
(ii)
9
(iii)
7
(iv)
11
(v)
10
Question
16
16.
The
t
7
of an A.P is
p
and
t
8
is
q
.
Find
t
13
and
t
n
.
(i)
(
−
6
p
+
7
q
)
,
(
−
p
n
+
7
p
+
q
n
−
6
q
)
(ii)
(
−
5
p
+
6
q
)
,
(
−
p
n
+
p
+
q
n
−
q
)
(iii)
2
p
,
(
−
p
n
+
15
p
+
q
n
−
13
q
)
(iv)
(
−
5
p
+
6
q
)
,
(
−
p
n
+
8
p
+
q
n
−
7
q
)
(v)
(
−
4
p
+
5
q
)
,
(
−
p
n
+
8
p
+
q
n
−
7
q
)
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)
3
2
(ii)
1
(iii)
4
3
(iv)
(
-3
4
)
(v)
2
3
Question
18
18.
Find
S
6
of the A.P.
1
,
8
,
15
,
. . .
=
(i)
108
(ii)
114
(iii)
112
(iv)
111
(v)
110
Question
19
19.
If
S
40
and
S
50
of an A.P. are
3280
and
5100
respectively, then
S
90
=
(i)
16381
(ii)
16383
(iii)
16380
(iv)
16378
Question
20
20.
The sum of first three terms of an A.P. is
30
while their product is
910
.
Find the A.P.
(i)
7
,
7
,
7
,
. . .
(ii)
8
,
11
,
14
,
. . .
(iii)
7
,
9
,
11
,
. . .
(iv)
7
,
10
,
13
,
. . .
(v)
9
,
12
,
15
,
. . .
Question
21
21.
The first term of the A.P.
7
,
9
,
11
,
13
,
15
,
. . .
=
(i)
7
(ii)
11
(iii)
13
(iv)
15
(v)
9
Question
22
22.
Given
t
n
=
96
, n =
12
,
S
n
=
624
, find a
(i)
6
(ii)
7
(iii)
9
(iv)
11
(v)
8
Question
23
23.
The common difference of the A.P.
2
5
,
3
5
,
4
5
,
. . .
=
(i)
3
5
(ii)
1
7
(iii)
1
3
(iv)
(
-1
5
)
(v)
1
5
Question
24
24.
Find the sum of first 79 natural numbers
(i)
3163
(ii)
3160
(iii)
3161
(iv)
3158
(v)
3159
Question
25
25.
If there are n arithmetic means between a and b, the common difference d =
(i)
(
b
−
a
)
(
n
−
1
)
(ii)
(
a
+
b
)
(
n
+
1
)
(iii)
(
n
−
1
)
(
a
+
b
)
(iv)
(
b
−
a
)
(
n
+
1
)
(v)
(
a
−
b
)
(
n
+
1
)
Assignment Key
1) (ii)
2) (v)
3) (ii)
4) (ii)
5) (i)
6) (v)
7) (ii)
8) (ii)
9) (iii)
10) (v)
11) (iii)
12) (iv)
13) (ii)
14) (iv)
15) (ii)
16) (iv)
17) (ii)
18) (iv)
19) (iii)
20) (iv)
21) (i)
22) (v)
23) (v)
24) (ii)
25) (iv)
