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.
6
,
11
,
16
,
21
,
26
,
. . .
=
(i)
16
(ii)
11
(iii)
21
(iv)
26
(v)
6
Question
2
2.
The first term of the A.P.
7
6
,
23
18
,
25
18
,
3
2
,
29
18
,
. . .
=
(i)
29
18
(ii)
3
2
(iii)
25
18
(iv)
23
18
(v)
7
6
Question
3
3.
The common difference of the A.P.
8
,
17
,
26
,
. . .
=
(i)
10
(ii)
6
(iii)
11
(iv)
9
(v)
8
Question
4
4.
The common difference of the A.P.
9
7
,
25
14
,
16
7
,
. . .
=
(i)
1
4
(ii)
1
2
(iii)
(
-1
2
)
(iv)
3
2
(v)
1
Question
5
5.
Find
t
5
of the A.P.
8
,
11
,
14
,
. . .
=
(i)
21
(ii)
22
(iii)
19
(iv)
18
(v)
20
Question
6
6.
Find
t
11
of the A.P.
8
5
,
53
30
,
29
15
,
. . .
=
(i)
49
13
(ii)
49
17
(iii)
17
5
(iv)
47
15
(v)
49
15
Question
7
7.
Find
S
5
of the A.P.
3
,
7
,
11
,
. . .
=
(i)
56
(ii)
53
(iii)
54
(iv)
57
(v)
55
Question
8
8.
Find
S
22
of the A.P.
1
7
,
15
56
,
11
28
,
. . .
=
(i)
1793
56
(ii)
1795
56
(iii)
1791
56
(iv)
1793
58
(v)
1793
54
Question
9
9.
Determine
t
5
of an A.P whose
t
19
is
22
and common difference is
1
(i)
10
(ii)
5
(iii)
7
(iv)
8
(v)
9
Question
10
10.
Determine
t
7
of an A.P whose
t
11
is
25
6
and common difference is
1
4
(i)
17
6
(ii)
19
6
(iii)
19
8
(iv)
19
4
(v)
7
2
Question
11
11.
The
t
9
of an A.P. is
14
and the
t
17
is
22
.
Find
t
12
.
(i)
18
(ii)
16
(iii)
19
(iv)
14
(v)
17
Question
12
12.
The
t
13
of an A.P. is
19
3
and the
t
18
is
53
6
.
Find
t
9
.
(i)
11
3
(ii)
13
(iii)
13
5
(iv)
5
(v)
13
3
Question
13
13.
Which term of the A.P.
1
,
7
,
13
,
. . .
is
67
?
(i)
t
9
(ii)
t
15
(iii)
t
12
(iv)
t
11
(v)
t
13
Question
14
14.
Which term of the A.P.
4
5
,
21
20
,
13
10
,
. . .
is
81
20
?
(i)
t
12
(ii)
t
16
(iii)
t
13
(iv)
t
15
(v)
t
14
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
,
8
,
9
,
. . .
(ii)
7
,
7
,
7
,
. . .
(iii)
8
,
9
,
10
,
. . .
(iv)
9
,
10
,
11
,
. . .
(v)
7
,
6
,
5
,
. . .
Question
16
16.
The sum of first three terms of an A.P. is
17
24
while their product is
425
41472
.
Find the A.P.
(i)
1
10
,
19
90
,
29
90
,
. . .
(ii)
1
8
,
15
56
,
23
56
,
. . .
(iii)
3
8
,
35
72
,
43
72
,
. . .
(iv)
1
8
,
17
72
,
25
72
,
. . .
(v)
1
8
,
1
72
,
(
-7
72
)
,
. . .
Question
17
17.
Insert
1
arithmetic means between
8
and
18
.
(i)
14
(ii)
15
(iii)
12
(iv)
13
(v)
11
Question
18
18.
Insert
3
arithmetic means between
2
5
and
16
15
.
(i)
21
40
,
13
20
,
31
40
(ii)
9
10
,
7
5
,
19
10
(iii)
13
20
,
9
10
,
23
20
(iv)
7
30
,
1
15
,
(
-1
10
)
(v)
17
30
,
11
15
,
9
10
Question
19
19.
If a =
1
and d =
6
, find
t
2
of the A.P.
(i)
8
(ii)
7
(iii)
9
(iv)
6
(v)
5
Question
20
20.
If a =
8
3
and d =
1
4
, find
t
6
of the A.P.
(i)
49
12
(ii)
47
12
(iii)
47
10
(iv)
47
14
(v)
15
4
Question
21
21.
How many terms of the A.P.
8
,
14
,
20
,
. . .
are needed to
make the sum
1062
?
(i)
16
(ii)
21
(iii)
17
(iv)
18
(v)
19
Question
22
22.
How many terms of the A.P.
9
5
,
2
,
11
5
,
. . .
are needed to
make the sum
117
5
?
(i)
10
(ii)
7
(iii)
9
(iv)
8
(v)
11
Question
23
23.
If a =
40
and b =
44
,
the arithmetic mean of a and b =
(i)
43
(ii)
45
(iii)
42
(iv)
40
(v)
41
Question
24
24.
If a =
107
40
and b =
123
40
,
the arithmetic mean of a and b =
(i)
23
10
(ii)
25
8
(iii)
23
8
(iv)
23
6
(v)
21
8
Question
25
25.
Given a =
6
, d =
9
,
S
n
=
171
, find
t
n
(i)
52
(ii)
51
(iii)
54
(iv)
49
(v)
50
Question
26
26.
Given a =
5
, d =
3
,
S
n
=
98
, find n
(i)
7
(ii)
4
(iii)
6
(iv)
8
(v)
9
Question
27
27.
Given a =
3
, d =
2
, n =
8
, find
t
n
(i)
14
(ii)
20
(iii)
17
(iv)
18
(v)
16
Question
28
28.
Given a =
2
, d =
8
, n =
13
, find
S
n
(i)
647
(ii)
649
(iii)
650
(iv)
652
(v)
651
Question
29
29.
Given
t
n
=
86
, n =
11
,
S
n
=
506
, find a
(i)
3
(ii)
5
(iii)
8
(iv)
6
(v)
7
Question
30
30.
Given
t
n
=
91
, n =
13
,
S
n
=
637
, find d
(i)
5
(ii)
9
(iii)
7
(iv)
8
(v)
6
Question
31
31.
Given
t
n
=
75
, d =
6
, n =
13
, find a
(i)
2
(ii)
3
(iii)
6
(iv)
4
(v)
1
Question
32
32.
Given
t
n
=
129
, d =
8
, n =
16
, find
S
n
(i)
1101
(ii)
1105
(iii)
1107
(iv)
1104
(v)
1103
Question
33
33.
Given
t
n
=
104
, a =
8
, n =
13
, find
S
n
(i)
727
(ii)
729
(iii)
725
(iv)
731
(v)
728
Question
34
34.
Given
t
n
=
86
, a =
2
, n =
15
, find d
(i)
7
(ii)
3
(iii)
9
(iv)
5
(v)
6
Question
35
35.
Find the common difference and next four terms of the
following A.P.
3
5
,
32
45
,
37
45
,
. . .
=
(i)
1
9
;
14
15
,
47
45
,
52
45
,
19
15
(ii)
1
1
9
;
14
15
,
47
45
,
52
45
,
19
15
(iii)
1
1
9
;
59
15
,
227
45
,
277
45
,
109
15
(iv)
1
1
9
;
(
-31
15
)
,
(
-133
45
)
,
(
-173
45
)
,
(
-71
15
)
Assignment Key
1) (v)
2) (v)
3) (iv)
4) (ii)
5) (v)
6) (v)
7) (v)
8) (i)
9) (iv)
10) (ii)
11) (v)
12) (v)
13) (iii)
14) (v)
15) (i)
16) (iv)
17) (iv)
18) (v)
19) (ii)
20) (ii)
21) (iv)
22) (iii)
23) (iii)
24) (iii)
25) (ii)
26) (i)
27) (iii)
28) (iii)
29) (iv)
30) (iii)
31) (ii)
32) (iv)
33) (v)
34) (v)
35) (i)
