EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Arthimetic Progressions
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Insert
2
arithmetic means between
2
3
and
25
24
.
(i)
5
6
,
1
(ii)
25
24
,
17
12
(iii)
19
24
,
11
12
(iv)
23
30
,
13
15
(v)
13
24
,
5
12
Question
2
2.
Given
t
n
=
144
, n =
16
,
S
n
=
1224
, find a
(i)
7
(ii)
12
(iii)
9
(iv)
8
(v)
10
Question
3
3.
Find
t
7
of the A.P.
7
,
15
,
23
,
. . .
=
(i)
57
(ii)
54
(iii)
53
(iv)
55
(v)
56
Question
4
4.
Find
t
n
of the A.P
6
,
13
,
20
,
27
,
34
,
. . .
(i)
(
7
n
−
1
)
(ii)
(
7
n
+
5
)
(iii)
(
7
n
+
6
)
(iv)
(
9
n
−
1
)
(v)
(
4
n
−
1
)
Question
5
5.
If the
t
n
of an A.P is
(
n
+
5
)
, find
S
n
(i)
(
1
)
(
n
2
+
n
)
2
+
5
n
(ii)
(
6
)
(
n
2
+
n
)
2
+
3
n
(iii)
(
5
)
(
n
2
+
n
)
2
+
2
n
(iv)
(
7
)
(
n
2
+
n
)
2
+
8
n
Question
6
6.
Find the sum of all natural numbers between 1 and 100 which are multiples of 3?
(i)
1684
(ii)
1680
(iii)
1682
(iv)
1685
(v)
1683
Question
7
7.
Find
t
n
of the A.P
5
4
,
17
12
,
19
12
,
7
4
,
23
12
,
. . .
(i)
(
25
6
n
+
13
12
)
(ii)
(
1
6
n
+
5
4
)
(iii)
(
1
6
n
+
7
3
)
(iv)
(
−
11
6
n
+
13
12
)
(v)
(
1
6
n
+
13
12
)
Question
8
8.
Given
t
n
=
63
, n =
19
,
S
n
=
684
, find d
(i)
5
(ii)
0
(iii)
2
(iv)
3
(v)
4
Question
9
9.
Given
t
n
=
39
, a =
3
, n =
10
, find
S
n
(i)
207
(ii)
213
(iii)
210
(iv)
209
(v)
211
Question
10
10.
The sum of first n natural number is
(i)
(
n
)
(
n
−
1
)
2
(ii)
(
n
)
(
n
+
1
)
2
(iii)
(
n
−
1
)
(
n
+
1
)
2
(iv)
(
n
)
(
n
+
1
)
(
2
n
+
1
)
6
(v)
n
2
(
n
+
1
)
2
4
Question
11
11.
How many terms of the A.P.
3
,
9
,
15
,
. . .
are needed to
make the sum
1083
?
(i)
20
(ii)
18
(iii)
19
(iv)
16
(v)
22
Question
12
12.
If a =
17
9
and b =
19
9
,
the arithmetic mean of a and b =
(i)
-1
(ii)
2
(iii)
1
(iv)
4
(v)
3
Question
13
13.
The first term of the A.P.
4
,
7
,
10
,
13
,
16
,
. . .
=
(i)
13
(ii)
16
(iii)
10
(iv)
4
(v)
7
Question
14
14.
The measures of the interior angles of a convex polygon are in A.P.
If the smallest angle is
52
and the largest angle is
128
,
then the number of sides of the polygon is
(i)
5
(ii)
3
(iii)
1
(iv)
4
(v)
7
Question
15
15.
Given a =
8
, d =
6
, n =
19
, find
t
n
(i)
115
(ii)
116
(iii)
117
(iv)
114
(v)
118
Question
16
16.
Find the sum of first 72 natural numbers
(i)
2626
(ii)
2628
(iii)
2629
(iv)
2627
(v)
2631
Question
17
17.
Given
t
n
=
111
, d =
7
, n =
16
, find a
(i)
9
(ii)
7
(iii)
6
(iv)
4
(v)
5
Question
18
18.
Given
t
n
=
14
, a =
4
, n =
6
, find d
(i)
2
(ii)
3
(iii)
1
(iv)
-1
(v)
4
Question
19
19.
Given a =
2
, d =
8
, n =
17
, find
S
n
(i)
1122
(ii)
1120
(iii)
1121
(iv)
1124
(v)
1123
Question
20
20.
How many terms of the A.P.
8
3
,
35
12
,
19
6
,
. . .
are needed to
make the sum
218
3
?
(i)
14
(ii)
16
(iii)
19
(iv)
17
(v)
15
Question
21
21.
The sum of first three terms of an A.P. is
31
7
while their product is
9424
3087
.
Find the A.P.
(i)
8
7
,
31
21
,
38
21
,
. . .
(ii)
8
9
,
11
9
,
14
9
,
. . .
(iii)
8
7
,
15
7
,
22
7
,
. . .
(iv)
8
7
,
17
21
,
10
21
,
. . .
(v)
10
7
,
37
21
,
44
21
,
. . .
Question
22
22.
Find the sum of the following A.P. series
(
8
x
+
8
y
)
,
(
7
x
+
10
y
)
,
(
6
x
+
12
y
)
. . .
to
11
terms
(i)
(
33
x
+
198
y
)
(ii)
(
−
38
x
+
124
y
)
(iii)
(
34
x
+
172
y
)
(iv)
(
36
x
+
168
y
)
(v)
(
−
54
x
+
108
y
)
Question
23
23.
Insert
2
arithmetic means between
6
and
24
.
(i)
11
,
16
(ii)
13
,
20
(iii)
10
,
14
(iv)
15
,
24
(v)
12
,
18
Question
24
24.
The first term of the A.P.
8
3
,
67
24
,
35
12
,
73
24
,
19
6
,
. . .
=
(i)
35
12
(ii)
8
3
(iii)
73
24
(iv)
67
24
(v)
19
6
Question
25
25.
Given
t
n
=
65
, d =
3
, n =
20
, find
S
n
(i)
731
(ii)
727
(iii)
730
(iv)
729
(v)
733
Assignment Key
1) (iii)
2) (iii)
3) (iv)
4) (i)
5) (i)
6) (v)
7) (v)
8) (iv)
9) (iii)
10) (ii)
11) (iii)
12) (ii)
13) (iv)
14) (iv)
15) (ii)
16) (ii)
17) (iii)
18) (i)
19) (i)
20) (ii)
21) (i)
22) (i)
23) (v)
24) (ii)
25) (iii)
