EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Arthimetic Progressions
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Which term of the A.P.
5
,
9
,
13
,
. . .
is
57
?
(i)
t
17
(ii)
t
15
(iii)
t
13
(iv)
t
12
(v)
t
14
Question
2
2.
Given
t
n
=
78
, a =
6
, n =
19
, find d
(i)
3
(ii)
2
(iii)
6
(iv)
4
(v)
5
Question
3
3.
The measures of the interior angles of a convex polygon are in A.P.
If the smallest angle is
90
and the largest angle is
126
,
then the number of sides of the polygon is
(i)
3
(ii)
8
(iii)
6
(iv)
4
(v)
5
Question
4
4.
The sum of first three terms of an A.P. is
36
while their product is
960
.
Find the A.P.
(i)
7
,
15
,
23
,
. . .
(ii)
4
,
12
,
20
,
. . .
(iii)
4
,
11
,
18
,
. . .
(iv)
4
,
10
,
16
,
. . .
(v)
5
,
13
,
21
,
. . .
Question
5
5.
Given a =
7
, d =
6
, n =
13
, find
S
n
(i)
560
(ii)
556
(iii)
561
(iv)
559
(v)
558
Question
6
6.
Find
S
14
of the A.P.
8
,
13
,
18
,
. . .
=
(i)
569
(ii)
567
(iii)
566
(iv)
568
(v)
564
Question
7
7.
Determine
t
15
of an A.P whose
t
18
is
158
and common difference is
9
(i)
132
(ii)
130
(iii)
133
(iv)
129
(v)
131
Question
8
8.
How many terms of the A.P.
4
,
6
,
8
,
. . .
are needed to
make the sum
88
?
(i)
5
(ii)
11
(iii)
7
(iv)
8
(v)
9
Question
9
9.
If the
t
n
of an A.P is
(
4
n
+
4
)
, find
S
n
(i)
(
8
)
(
n
2
+
n
)
2
+
9
n
(ii)
(
5
)
(
n
2
+
n
)
2
+
5
n
(iii)
(
6
)
(
n
2
+
n
)
2
+
9
n
(iv)
(
4
)
(
n
2
+
n
)
2
+
4
n
(v)
(
2
)
(
n
2
+
n
)
2
+
6
n
Question
10
10.
The first term of the A.P.
1
6
,
5
18
,
7
18
,
1
2
,
11
18
,
. . .
=
(i)
1
6
(ii)
11
18
(iii)
7
18
(iv)
5
18
(v)
1
2
Question
11
11.
Determine
t
19
of an A.P whose
t
10
is
16
7
and common difference is
1
9
(i)
23
5
(ii)
25
7
(iii)
23
9
(iv)
3
(v)
23
7
Question
12
12.
Find the common difference and next four terms of the
following A.P.
4
3
,
5
3
,
2
,
. . .
=
(i)
1
3
;
7
3
,
8
3
,
3
,
10
3
(ii)
1
1
3
;
(
-2
3
)
,
(
-4
3
)
,
-2
,
(
-8
3
)
(iii)
1
1
3
;
7
3
,
8
3
,
3
,
10
3
(iv)
1
1
3
;
16
3
,
20
3
,
8
,
28
3
Question
13
13.
If there are n arithmetic means between a and b, the common difference d =
(i)
(
a
+
b
)
(
n
+
1
)
(ii)
(
a
−
b
)
(
n
+
1
)
(iii)
(
b
−
a
)
(
n
−
1
)
(iv)
(
b
−
a
)
(
n
+
1
)
(v)
(
n
−
1
)
(
a
+
b
)
Question
14
14.
Given
t
n
=
101
, n =
20
,
S
n
=
1070
, find d
(i)
4
(ii)
6
(iii)
8
(iv)
3
(v)
5
Question
15
15.
If a =
8
and d =
5
, find
t
5
of the A.P.
(i)
28
(ii)
29
(iii)
30
(iv)
27
(v)
26
Question
16
16.
Which term of the A.P.
7
3
,
52
21
,
55
21
,
. . .
is
10
3
?
(i)
t
8
(ii)
t
6
(iii)
t
7
(iv)
t
9
(v)
t
11
Question
17
17.
Find
t
n
of the A.P
9
,
11
,
13
,
. . .
(i)
(
2
n
+
7
)
(ii)
(
2
n
+
16
)
(iii)
(
−
2
n
+
7
)
(iv)
(
3
n
+
7
)
(v)
(
2
n
+
9
)
Question
18
18.
If a =
41
and b =
53
,
the arithmetic mean of a and b =
(i)
47
(ii)
50
(iii)
44
(iv)
48
(v)
46
Question
19
19.
The
t
9
of an A.P. is
59
and the
t
15
is
101
.
Find
t
10
.
(i)
63
(ii)
65
(iii)
66
(iv)
68
(v)
67
Question
20
20.
If
S
80
and
S
50
of an A.P. are
22520
and
8825
respectively, then
S
130
=
(i)
59345
(ii)
59348
(iii)
59342
(iv)
59346
Question
21
21.
The sum of first three terms of an A.P. is
1
1
while their product is
1
36
.
Find the A.P.
(i)
1
6
,
1
3
,
1
2
,
. . .
(ii)
1
8
,
7
24
,
11
24
,
. . .
(iii)
1
6
,
0
,
(
-1
6
)
,
. . .
(iv)
1
2
,
2
3
,
5
6
,
. . .
(v)
1
6
,
5
12
,
2
3
,
. . .
Question
22
22.
Given
t
n
=
55
, d =
6
, n =
9
, find
S
n
(i)
279
(ii)
278
(iii)
277
(iv)
281
(v)
280
Question
23
23.
Given
t
n
=
161
, a =
8
, n =
18
, find
S
n
(i)
1522
(ii)
1521
(iii)
1519
(iv)
1520
(v)
1523
Question
24
24.
Find the sum of first 96 natural numbers
(i)
4659
(ii)
4657
(iii)
4655
(iv)
4656
(v)
4654
Question
25
25.
Find the sum of all natural numbers between 100 and 200 which are multiples of 9?
(i)
1685
(ii)
1681
(iii)
1684
(iv)
1682
(v)
1683
Assignment Key
1) (v)
2) (iv)
3) (v)
4) (ii)
5) (iv)
6) (ii)
7) (v)
8) (iv)
9) (iv)
10) (i)
11) (v)
12) (i)
13) (iv)
14) (v)
15) (i)
16) (i)
17) (i)
18) (i)
19) (iii)
20) (i)
21) (i)
22) (i)
23) (ii)
24) (iv)
25) (v)
