EduSahara™ Assignment
Name : Nth Term and Sum of N Terms
Chapter : Arthimetic Progressions
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
The first term of the A.P.
4
,
13
,
22
,
31
,
40
,
. . .
=
(i)
4
(ii)
40
(iii)
22
(iv)
31
(v)
13
Question
2
2.
The first term of the A.P.
3
2
,
29
18
,
31
18
,
11
6
,
35
18
,
. . .
=
(i)
3
2
(ii)
29
18
(iii)
31
18
(iv)
11
6
(v)
35
18
Question
3
3.
The common difference of the A.P.
2
,
6
,
10
,
. . .
=
(i)
6
(ii)
3
(iii)
5
(iv)
4
(v)
2
Question
4
4.
The common difference of the A.P.
8
3
,
3
,
10
3
,
. . .
=
(i)
1
5
(ii)
1
3
(iii)
1
(iv)
(
-1
3
)
Question
5
5.
Find
t
13
of the A.P.
9
,
10
,
11
,
. . .
=
(i)
18
(ii)
22
(iii)
21
(iv)
23
(v)
20
Question
6
6.
Find
t
12
of the A.P.
5
7
,
37
42
,
22
21
,
. . .
=
(i)
5
2
(ii)
107
40
(iii)
107
42
(iv)
107
44
(v)
109
42
Question
7
7.
Find
S
25
of the A.P.
4
,
11
,
18
,
. . .
=
(i)
2202
(ii)
2201
(iii)
2200
(iv)
2198
(v)
2199
Question
8
8.
Find
S
18
of the A.P.
1
8
,
1
4
,
3
8
,
. . .
=
(i)
171
10
(ii)
171
8
(iii)
169
8
(iv)
173
8
(v)
57
2
Question
9
9.
Determine
t
15
of an A.P whose
t
9
is
9
and common difference is
1
(i)
18
(ii)
14
(iii)
15
(iv)
12
(v)
16
Question
10
10.
Determine
t
11
of an A.P whose
t
18
is
113
36
and common difference is
1
9
(i)
29
12
(ii)
5
2
(iii)
85
38
(iv)
83
36
(v)
85
36
Question
11
11.
The
t
8
of an A.P. is
68
and the
t
20
is
176
.
Find
t
5
.
(i)
44
(ii)
38
(iii)
40
(iv)
42
(v)
41
Question
12
12.
The
t
8
of an A.P. is
31
9
and the
t
19
is
14
3
.
Find
t
20
.
(i)
5
(ii)
43
7
(iii)
43
9
(iv)
43
11
(v)
41
9
Question
13
13.
Which term of the A.P.
6
,
14
,
22
,
. . .
is
102
?
(i)
t
13
(ii)
t
15
(iii)
t
14
(iv)
t
12
(v)
t
11
Question
14
14.
Which term of the A.P.
1
9
,
11
18
,
10
9
,
. . .
is
55
9
?
(i)
t
15
(ii)
t
11
(iii)
t
12
(iv)
t
14
(v)
t
13
Question
15
15.
The sum of first three terms of an A.P. is
24
while their product is
504
.
Find the A.P.
(i)
7
,
6
,
5
,
. . .
(ii)
8
,
9
,
10
,
. . .
(iii)
7
,
8
,
9
,
. . .
(iv)
9
,
10
,
11
,
. . .
(v)
7
,
7
,
7
,
. . .
Question
16
16.
The sum of first three terms of an A.P. is
5
while their product is
55
12
.
Find the A.P.
(i)
5
2
,
8
3
,
17
6
,
. . .
(ii)
3
2
,
5
3
,
11
6
,
. . .
(iii)
3
2
,
4
3
,
7
6
,
. . .
(iv)
3
4
,
11
12
,
13
12
,
. . .
(v)
3
2
,
7
4
,
2
,
. . .
Question
17
17.
Insert
3
arithmetic means between
4
and
20
.
(i)
7
,
10
,
13
(ii)
6
,
8
,
10
(iii)
10
,
16
,
22
(iv)
9
,
14
,
19
(v)
8
,
12
,
16
Question
18
18.
Insert
3
arithmetic means between
8
5
and
12
5
.
(i)
29
15
,
34
15
,
13
5
(ii)
9
5
,
2
,
11
5
(iii)
7
5
,
6
5
,
1
(iv)
11
5
,
14
5
,
17
5
(v)
61
35
,
66
35
,
71
35
Question
19
19.
If a =
4
and d =
4
, find
t
3
of the A.P.
(i)
11
(ii)
10
(iii)
12
(iv)
14
(v)
13
Question
20
20.
If a =
3
7
and d =
1
8
, find
t
6
of the A.P.
(i)
57
56
(ii)
59
54
(iii)
59
56
(iv)
61
56
(v)
59
58
Question
21
21.
How many terms of the A.P.
4
,
11
,
18
,
. . .
are needed to
make the sum
1020
?
(i)
17
(ii)
15
(iii)
19
(iv)
16
(v)
18
Question
22
22.
How many terms of the A.P.
6
7
,
19
14
,
13
7
,
. . .
are needed to
make the sum
180
7
?
(i)
8
(ii)
9
(iii)
11
(iv)
6
(v)
10
Question
23
23.
If a =
97
and b =
113
,
the arithmetic mean of a and b =
(i)
107
(ii)
103
(iii)
106
(iv)
104
(v)
105
Question
24
24.
If a =
9
20
and b =
19
20
,
the arithmetic mean of a and b =
(i)
9
10
(ii)
7
8
(iii)
7
12
(iv)
7
10
(v)
1
2
Question
25
25.
Given a =
5
, d =
2
,
S
n
=
252
, find
t
n
(i)
28
(ii)
30
(iii)
33
(iv)
31
(v)
32
Question
26
26.
Given a =
8
, d =
8
,
S
n
=
624
, find n
(i)
11
(ii)
9
(iii)
13
(iv)
12
(v)
14
Question
27
27.
Given a =
6
, d =
7
, n =
6
, find
t
n
(i)
40
(ii)
42
(iii)
41
(iv)
38
(v)
44
Question
28
28.
Given a =
2
, d =
7
, n =
20
, find
S
n
(i)
1367
(ii)
1372
(iii)
1370
(iv)
1369
(v)
1371
Question
29
29.
Given
t
n
=
142
, n =
20
,
S
n
=
1510
, find a
(i)
7
(ii)
10
(iii)
9
(iv)
8
(v)
11
Question
30
30.
Given
t
n
=
29
, n =
8
,
S
n
=
148
, find d
(i)
2
(ii)
4
(iii)
5
(iv)
3
(v)
0
Question
31
31.
Given
t
n
=
41
, d =
2
, n =
18
, find a
(i)
8
(ii)
6
(iii)
7
(iv)
4
(v)
10
Question
32
32.
Given
t
n
=
119
, d =
9
, n =
14
, find
S
n
(i)
848
(ii)
850
(iii)
846
(iv)
847
(v)
844
Question
33
33.
Given
t
n
=
98
, a =
7
, n =
14
, find
S
n
(i)
735
(ii)
734
(iii)
736
(iv)
732
(v)
738
Question
34
34.
Given
t
n
=
75
, a =
5
, n =
11
, find d
(i)
8
(ii)
5
(iii)
9
(iv)
6
(v)
7
Question
35
35.
Find the common difference and next four terms of the
following A.P.
9
7
,
43
28
,
25
14
,
. . .
=
(i)
1
1
4
;
57
28
,
16
7
,
71
28
,
39
14
(ii)
1
1
4
;
(
-27
28
)
,
(
-12
7
)
,
(
-69
28
)
,
(
-45
14
)
(iii)
1
4
;
57
28
,
16
7
,
71
28
,
39
14
(iv)
1
1
4
;
141
28
,
44
7
,
211
28
,
123
14
Assignment Key
1) (i)
2) (i)
3) (iv)
4) (ii)
5) (iii)
6) (iii)
7) (iii)
8) (ii)
9) (iii)
10) (v)
11) (v)
12) (iii)
13) (i)
14) (v)
15) (iii)
16) (ii)
17) (v)
18) (ii)
19) (iii)
20) (iii)
21) (i)
22) (ii)
23) (v)
24) (iv)
25) (iv)
26) (iv)
27) (iii)
28) (iii)
29) (iii)
30) (iv)
31) (iii)
32) (iv)
33) (i)
34) (v)
35) (iii)
