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.
2
,
5
,
8
,
11
,
14
,
. . .
=
(i)
8
(ii)
11
(iii)
5
(iv)
2
(v)
14
Question
2
2.
The first term of the A.P.
2
7
,
23
56
,
15
28
,
37
56
,
11
14
,
. . .
=
(i)
37
56
(ii)
15
28
(iii)
23
56
(iv)
2
7
(v)
11
14
Question
3
3.
The common difference of the A.P.
5
,
10
,
15
,
. . .
=
(i)
7
(ii)
3
(iii)
6
(iv)
5
(v)
4
Question
4
4.
The common difference of the A.P.
6
5
,
23
15
,
28
15
,
. . .
=
(i)
1
3
(ii)
1
(iii)
1
5
(iv)
(
-1
3
)
Question
5
5.
Find
t
16
of the A.P.
6
,
11
,
16
,
. . .
=
(i)
81
(ii)
80
(iii)
79
(iv)
82
(v)
83
Question
6
6.
Find
t
22
of the A.P.
1
6
,
5
18
,
7
18
,
. . .
=
(i)
5
2
(ii)
3
2
(iii)
7
2
(iv)
5
4
(v)
5
Question
7
7.
Find
S
13
of the A.P.
5
,
12
,
19
,
. . .
=
(i)
611
(ii)
610
(iii)
614
(iv)
612
(v)
608
Question
8
8.
Find
S
7
of the A.P.
5
6
,
17
18
,
19
18
,
. . .
=
(i)
49
4
(ii)
49
8
(iii)
47
6
(iv)
49
6
(v)
17
2
Question
9
9.
Determine
t
9
of an A.P whose
t
12
is
25
and common difference is
2
(i)
19
(ii)
18
(iii)
22
(iv)
16
(v)
20
Question
10
10.
Determine
t
12
of an A.P whose
t
20
is
103
40
and common difference is
1
8
(i)
63
40
(ii)
13
8
(iii)
3
2
(iv)
63
38
(v)
61
40
Question
11
11.
The
t
12
of an A.P. is
103
and the
t
7
is
58
.
Find
t
20
.
(i)
175
(ii)
174
(iii)
172
(iv)
177
(v)
176
Question
12
12.
The
t
7
of an A.P. is
43
42
and the
t
5
is
31
42
.
Find
t
9
.
(i)
11
8
(ii)
19
14
(iii)
5
4
(iv)
55
42
(v)
53
42
Question
13
13.
Which term of the A.P.
3
,
6
,
9
,
. . .
is
15
?
(i)
t
3
(ii)
t
4
(iii)
t
8
(iv)
t
5
(v)
t
6
Question
14
14.
Which term of the A.P.
8
5
,
53
30
,
29
15
,
. . .
is
18
5
?
(i)
t
10
(ii)
t
15
(iii)
t
13
(iv)
t
12
(v)
t
14
Question
15
15.
The sum of first three terms of an A.P. is
21
while their product is
231
.
Find the A.P.
(i)
5
,
9
,
13
,
. . .
(ii)
3
,
6
,
9
,
. . .
(iii)
3
,
7
,
11
,
. . .
(iv)
3
,
5
,
7
,
. . .
(v)
4
,
8
,
12
,
. . .
Question
16
16.
The sum of first three terms of an A.P. is
5
4
while their product is
5
108
.
Find the A.P.
(i)
1
6
,
(
-1
12
)
,
(
-1
3
)
,
. . .
(ii)
1
6
,
2
3
,
7
6
,
. . .
(iii)
1
2
,
3
4
,
1
,
. . .
(iv)
1
8
,
3
8
,
5
8
,
. . .
(v)
1
6
,
5
12
,
2
3
,
. . .
Question
17
17.
Insert
1
arithmetic means between
6
and
24
.
(i)
16
(ii)
12
(iii)
18
(iv)
15
(v)
14
Question
18
18.
Insert
3
arithmetic means between
9
2
and
13
2
.
(i)
19
4
,
5
,
21
4
(ii)
6
,
15
2
,
9
(iii)
5
,
11
2
,
6
(iv)
11
2
,
13
2
,
15
2
(v)
4
,
7
2
,
3
Question
19
19.
If a =
6
and d =
3
, find
t
5
of the A.P.
(i)
18
(ii)
15
(iii)
17
(iv)
19
(v)
21
Question
20
20.
If a =
5
8
and d =
1
3
, find
t
2
of the A.P.
(i)
7
8
(ii)
23
22
(iii)
25
24
(iv)
23
24
(v)
23
26
Question
21
21.
How many terms of the A.P.
8
,
16
,
24
,
. . .
are needed to
make the sum
960
?
(i)
17
(ii)
16
(iii)
15
(iv)
12
(v)
14
Question
22
22.
How many terms of the A.P.
8
5
,
37
20
,
21
10
,
. . .
are needed to
make the sum
357
10
?
(i)
15
(ii)
10
(iii)
12
(iv)
11
(v)
13
Question
23
23.
If a =
30
and b =
46
,
the arithmetic mean of a and b =
(i)
40
(ii)
38
(iii)
37
(iv)
36
(v)
39
Question
24
24.
If a =
11
5
and b =
38
15
,
the arithmetic mean of a and b =
(i)
71
28
(ii)
71
30
(iii)
73
30
(iv)
23
10
(v)
71
32
Question
25
25.
Given a =
3
, d =
8
,
S
n
=
1425
, find
t
n
(i)
146
(ii)
148
(iii)
144
(iv)
150
(v)
147
Question
26
26.
Given a =
5
, d =
6
,
S
n
=
616
, find n
(i)
15
(ii)
13
(iii)
12
(iv)
14
(v)
17
Question
27
27.
Given a =
9
, d =
7
, n =
12
, find
t
n
(i)
83
(ii)
86
(iii)
87
(iv)
89
(v)
85
Question
28
28.
Given a =
9
, d =
2
, n =
20
, find
S
n
(i)
559
(ii)
562
(iii)
557
(iv)
560
(v)
561
Question
29
29.
Given
t
n
=
33
, n =
7
,
S
n
=
126
, find a
(i)
2
(ii)
4
(iii)
1
(iv)
5
(v)
3
Question
30
30.
Given
t
n
=
39
, n =
9
,
S
n
=
207
, find d
(i)
3
(ii)
4
(iii)
5
(iv)
7
(v)
1
Question
31
31.
Given
t
n
=
38
, d =
5
, n =
8
, find a
(i)
3
(ii)
6
(iii)
1
(iv)
2
(v)
4
Question
32
32.
Given
t
n
=
148
, d =
8
, n =
19
, find
S
n
(i)
1442
(ii)
1443
(iii)
1446
(iv)
1445
(v)
1444
Question
33
33.
Given
t
n
=
82
, a =
5
, n =
12
, find
S
n
(i)
524
(ii)
522
(iii)
521
(iv)
520
(v)
523
Question
34
34.
Given
t
n
=
26
, a =
2
, n =
9
, find d
(i)
6
(ii)
1
(iii)
2
(iv)
4
(v)
3
Question
35
35.
Find the common difference and next four terms of the
following A.P.
6
7
,
31
28
,
19
14
,
. . .
=
(i)
1
1
4
;
45
28
,
13
7
,
59
28
,
33
14
(ii)
1
4
;
45
28
,
13
7
,
59
28
,
33
14
(iii)
1
1
4
;
(
-39
28
)
,
(
-15
7
)
,
(
-81
28
)
,
(
-51
14
)
(iv)
1
1
4
;
129
28
,
41
7
,
199
28
,
117
14
Assignment Key
1) (iv)
2) (iv)
3) (iv)
4) (i)
5) (i)
6) (i)
7) (i)
8) (iv)
9) (i)
10) (i)
11) (i)
12) (iv)
13) (iv)
14) (iii)
15) (iii)
16) (v)
17) (iv)
18) (iii)
19) (i)
20) (iv)
21) (iii)
22) (iii)
23) (ii)
24) (ii)
25) (v)
26) (iv)
27) (ii)
28) (iv)
29) (v)
30) (ii)
31) (i)
32) (v)
33) (ii)
34) (v)
35) (ii)
