EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Arthimetic Progressions
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
The first term of the A.P.
1
6
,
7
24
,
5
12
,
13
24
,
2
3
,
. . .
=
(i)
13
24
(ii)
2
3
(iii)
1
6
(iv)
7
24
(v)
5
12
Question
2
2.
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)
(
a
−
b
)
(
n
+
1
)
(v)
(
b
−
a
)
(
n
+
1
)
Question
3
3.
Find the sum of all natural numbers between 100 and 200 which are multiples of 8?
(i)
1777
(ii)
1778
(iii)
1776
(iv)
1775
(v)
1773
Question
4
4.
Find
S
9
of the A.P.
5
,
10
,
15
,
. . .
=
(i)
225
(ii)
222
(iii)
224
(iv)
227
(v)
226
Question
5
5.
Find
t
8
of the A.P.
1
,
6
,
11
,
. . .
=
(i)
37
(ii)
35
(iii)
38
(iv)
34
(v)
36
Question
6
6.
If a =
13
and b =
14
,
the arithmetic mean of a and b =
(i)
25
2
(ii)
29
2
(iii)
27
4
(iv)
27
(v)
27
2
Question
7
7.
The common difference of the A.P.
1
6
,
5
12
,
2
3
,
. . .
=
(i)
1
6
(ii)
1
2
(iii)
1
4
(iv)
(
-1
4
)
(v)
3
4
Question
8
8.
Find the sum of all natural numbers between 1 and 100 which are multiples of 8?
(i)
625
(ii)
624
(iii)
621
(iv)
627
(v)
623
Question
9
9.
Given
t
n
=
34
, d =
4
, n =
8
, find
S
n
(i)
161
(ii)
163
(iii)
160
(iv)
159
(v)
158
Question
10
10.
Find
t
n
of the A.P
8
,
12
,
16
,
. . .
(i)
(
4
n
+
4
)
(ii)
(
4
n
+
8
)
(iii)
(
2
n
+
4
)
(iv)
(
7
n
+
4
)
(v)
(
4
n
+
12
)
Question
11
11.
The product of two numbers is
1008
and their arithmetic mean is
32
.
Find the two numbers.
(i)
(
29
,
37
)
(ii)
(
28
,
36
)
(iii)
(
30
,
36
)
(iv)
(
28
,
35
)
(v)
(
38
,
30
)
Question
12
12.
Insert
4
arithmetic means between
1
2
and
4
3
.
(i)
2
3
,
5
6
,
1
,
7
6
(ii)
5
8
,
3
4
,
7
8
,
1
(iii)
3
4
,
1
,
5
4
,
3
2
(iv)
1
3
,
1
6
,
0
,
(
-1
6
)
(v)
1
,
3
2
,
2
,
5
2
Question
13
13.
The sum of first three terms of an A.P. is
18
while their product is
66
.
Find the A.P.
(i)
3
,
8
,
13
,
. . .
(ii)
1
,
5
,
9
,
. . .
(iii)
1
,
3
,
5
,
. . .
(iv)
2
,
7
,
12
,
. . .
(v)
1
,
6
,
11
,
. . .
Question
14
14.
Find
t
n
of the A.P
8
,
15
,
22
,
29
,
36
,
. . .
(i)
(
6
n
+
1
)
(ii)
(
7
n
+
8
)
(iii)
(
9
n
+
1
)
(iv)
(
7
n
+
1
)
(v)
(
7
n
+
9
)
Question
15
15.
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)
1
(ii)
4
3
(iii)
3
2
(iv)
(
-3
4
)
(v)
2
3
Question
16
16.
If the
t
n
of an A.P is
(
n
+
4
)
, find
S
n
(i)
(
1
)
(
n
2
+
n
)
2
+
4
n
(ii)
(
8
)
(
n
2
+
n
)
2
+
5
n
(iii)
(
1
)
(
n
2
+
n
)
2
+
2
n
(iv)
(
4
)
(
n
2
+
n
)
2
+
n
(v)
(
8
)
(
n
2
+
n
)
2
+
3
n
Question
17
17.
Determine
t
4
and
t
n
of an A.P. whose
t
3
is
23
and
t
6
is
50
.
(i)
33
;
(
9
n
+
1
)
(ii)
32
;
(
9
n
−
4
)
(iii)
31
;
(
9
n
+
5
)
(iv)
30
;
(
8
n
−
4
)
(v)
34
;
(
10
n
−
4
)
Question
18
18.
Given a =
3
, d =
3
, n =
5
, find
S
n
(i)
44
(ii)
45
(iii)
46
(iv)
47
(v)
43
Question
19
19.
Determine
t
19
of an A.P whose
t
12
is
67
15
and common difference is
1
3
(i)
34
7
(ii)
36
5
(iii)
34
5
(iv)
32
5
(v)
34
3
Question
20
20.
Which term of the A.P.
2
,
4
,
6
,
. . .
is
28
?
(i)
t
15
(ii)
t
16
(iii)
t
14
(iv)
t
11
(v)
t
13
Question
21
21.
Given
t
n
=
83
, n =
14
,
S
n
=
616
, find a
(i)
5
(ii)
6
(iii)
8
(iv)
4
(v)
3
Question
22
22.
Given
t
n
=
83
, a =
2
, n =
10
, find
S
n
(i)
425
(ii)
426
(iii)
423
(iv)
427
(v)
424
Question
23
23.
Given a =
3
, d =
2
,
S
n
=
80
, find n
(i)
9
(ii)
5
(iii)
11
(iv)
8
(v)
7
Question
24
24.
Which term of the A.P.
1
9
,
11
18
,
10
9
,
. . .
is
46
9
?
(i)
t
11
(ii)
t
9
(iii)
t
13
(iv)
t
12
(v)
t
10
Question
25
25.
Determine
t
8
of an A.P whose
t
7
is
27
and common difference is
4
(i)
32
(ii)
30
(iii)
28
(iv)
33
(v)
31
Assignment Key
1) (iii)
2) (v)
3) (iii)
4) (i)
5) (v)
6) (v)
7) (iii)
8) (ii)
9) (iii)
10) (i)
11) (ii)
12) (i)
13) (v)
14) (iv)
15) (i)
16) (i)
17) (ii)
18) (ii)
19) (iii)
20) (iii)
21) (i)
22) (i)
23) (iv)
24) (i)
25) (v)
