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.
7
,
14
,
21
,
28
,
35
,
. . .
=
(i)
28
(ii)
21
(iii)
35
(iv)
14
(v)
7
Question
2
2.
The first term of the A.P.
5
7
,
32
35
,
39
35
,
46
35
,
53
35
,
. . .
=
(i)
46
35
(ii)
39
35
(iii)
5
7
(iv)
53
35
(v)
32
35
Question
3
3.
The common difference of the A.P.
7
,
16
,
25
,
. . .
=
(i)
8
(ii)
9
(iii)
6
(iv)
10
(v)
12
Question
4
4.
The common difference of the A.P.
7
5
,
26
15
,
31
15
,
. . .
=
(i)
1
3
(ii)
1
5
(iii)
(
-1
3
)
(iv)
1
Question
5
5.
Find
t
8
of the A.P.
5
,
8
,
11
,
. . .
=
(i)
24
(ii)
27
(iii)
28
(iv)
26
(v)
25
Question
6
6.
Find
t
20
of the A.P.
2
7
,
19
42
,
13
21
,
. . .
=
(i)
7
2
(ii)
145
44
(iii)
29
8
(iv)
145
42
(v)
143
42
Question
7
7.
Find
S
20
of the A.P.
1
,
3
,
5
,
. . .
=
(i)
397
(ii)
399
(iii)
400
(iv)
401
(v)
402
Question
8
8.
Find
S
6
of the A.P.
9
2
,
14
3
,
29
6
,
. . .
=
(i)
59
2
(ii)
59
(iii)
59
4
(iv)
57
2
(v)
61
2
Question
9
9.
Determine
t
20
of an A.P whose
t
7
is
21
and common difference is
2
(i)
49
(ii)
46
(iii)
48
(iv)
44
(v)
47
Question
10
10.
Determine
t
19
of an A.P whose
t
14
is
67
24
and common difference is
1
6
(i)
31
8
(ii)
29
6
(iii)
27
8
(iv)
29
8
(v)
29
10
Question
11
11.
The
t
12
of an A.P. is
93
and the
t
13
is
101
.
Find
t
9
.
(i)
70
(ii)
68
(iii)
67
(iv)
72
(v)
69
Question
12
12.
The
t
5
of an A.P. is
74
45
and the
t
18
is
139
45
.
Find
t
10
.
(i)
11
3
(ii)
11
7
(iii)
13
5
(iv)
11
5
(v)
9
5
Question
13
13.
Which term of the A.P.
2
,
4
,
6
,
. . .
is
38
?
(i)
t
20
(ii)
t
19
(iii)
t
21
(iv)
t
16
(v)
t
18
Question
14
14.
Which term of the A.P.
1
2
,
5
8
,
3
4
,
. . .
is
23
8
?
(i)
t
21
(ii)
t
22
(iii)
t
18
(iv)
t
19
(v)
t
20
Question
15
15.
The sum of first three terms of an A.P. is
39
while their product is
1872
.
Find the A.P.
(i)
8
,
12
,
16
,
. . .
(ii)
8
,
11
,
14
,
. . .
(iii)
11
,
16
,
21
,
. . .
(iv)
9
,
14
,
19
,
. . .
(v)
8
,
13
,
18
,
. . .
Question
16
16.
The sum of first three terms of an A.P. is
17
7
while their product is
680
1323
.
Find the A.P.
(i)
2
3
,
17
21
,
20
21
,
. . .
(ii)
2
3
,
11
21
,
8
21
,
. . .
(iii)
2
3
,
13
15
,
16
15
,
. . .
(iv)
2
5
,
19
35
,
24
35
,
. . .
(v)
4
3
,
31
21
,
34
21
,
. . .
Question
17
17.
Insert
3
arithmetic means between
4
and
32
.
(i)
12
,
20
,
28
(ii)
9
,
14
,
19
(iii)
10
,
16
,
22
(iv)
14
,
24
,
34
(v)
11
,
18
,
25
Question
18
18.
Insert
3
arithmetic means between
7
5
and
69
35
.
(i)
8
5
,
9
5
,
2
(ii)
68
45
,
73
45
,
26
15
(iii)
64
35
,
79
35
,
94
35
(iv)
44
35
,
39
35
,
34
35
(v)
54
35
,
59
35
,
64
35
Question
19
19.
If a =
2
and d =
1
, find
t
2
of the A.P.
(i)
4
(ii)
5
(iii)
0
(iv)
2
(v)
3
Question
20
20.
If a =
5
6
and d =
1
2
, find
t
4
of the A.P.
(i)
3
(ii)
7
3
(iii)
7
(iv)
5
3
(v)
7
5
Question
21
21.
How many terms of the A.P.
6
,
14
,
22
,
. . .
are needed to
make the sum
1190
?
(i)
18
(ii)
15
(iii)
20
(iv)
16
(v)
17
Question
22
22.
How many terms of the A.P.
9
4
,
85
36
,
89
36
,
. . .
are needed to
make the sum
749
18
?
(i)
13
(ii)
11
(iii)
17
(iv)
14
(v)
15
Question
23
23.
If a =
61
and b =
67
,
the arithmetic mean of a and b =
(i)
65
(ii)
64
(iii)
67
(iv)
61
(v)
63
Question
24
24.
If a =
14
9
and b =
17
9
,
the arithmetic mean of a and b =
(i)
29
18
(ii)
31
16
(iii)
11
6
(iv)
31
18
(v)
31
20
Question
25
25.
Given a =
9
, d =
3
,
S
n
=
750
, find
t
n
(i)
64
(ii)
67
(iii)
65
(iv)
69
(v)
66
Question
26
26.
Given a =
4
, d =
8
,
S
n
=
324
, find n
(i)
10
(ii)
8
(iii)
11
(iv)
9
(v)
6
Question
27
27.
Given a =
8
, d =
6
, n =
5
, find
t
n
(i)
32
(ii)
35
(iii)
29
(iv)
33
(v)
31
Question
28
28.
Given a =
7
, d =
3
, n =
5
, find
S
n
(i)
66
(ii)
64
(iii)
67
(iv)
62
(v)
65
Question
29
29.
Given
t
n
=
16
, n =
5
,
S
n
=
50
, find a
(i)
4
(ii)
7
(iii)
2
(iv)
5
(v)
3
Question
30
30.
Given
t
n
=
67
, n =
11
,
S
n
=
407
, find d
(i)
4
(ii)
6
(iii)
5
(iv)
8
(v)
7
Question
31
31.
Given
t
n
=
56
, d =
3
, n =
17
, find a
(i)
5
(ii)
8
(iii)
9
(iv)
11
(v)
7
Question
32
32.
Given
t
n
=
128
, d =
8
, n =
16
, find
S
n
(i)
1089
(ii)
1085
(iii)
1090
(iv)
1088
(v)
1087
Question
33
33.
Given
t
n
=
44
, a =
8
, n =
7
, find
S
n
(i)
182
(ii)
183
(iii)
184
(iv)
181
(v)
179
Question
34
34.
Given
t
n
=
26
, a =
6
, n =
6
, find d
(i)
5
(ii)
2
(iii)
7
(iv)
4
(v)
3
Question
35
35.
Find the common difference and next four terms of the
following A.P.
4
7
,
39
56
,
23
28
,
. . .
=
(i)
1
1
8
;
53
56
,
15
14
,
67
56
,
37
28
(ii)
1
8
;
53
56
,
15
14
,
67
56
,
37
28
(iii)
1
1
8
;
(
-115
56
)
,
(
-41
14
)
,
(
-213
56
)
,
(
-131
28
)
(iv)
1
1
8
;
221
56
,
71
14
,
347
56
,
205
28
Assignment Key
1) (v)
2) (iii)
3) (ii)
4) (i)
5) (iv)
6) (iv)
7) (iii)
8) (i)
9) (v)
10) (iv)
11) (v)
12) (iv)
13) (ii)
14) (v)
15) (v)
16) (i)
17) (v)
18) (v)
19) (v)
20) (ii)
21) (v)
22) (iv)
23) (ii)
24) (iv)
25) (v)
26) (iv)
27) (i)
28) (v)
29) (i)
30) (ii)
31) (ii)
32) (iv)
33) (i)
34) (iv)
35) (ii)
