EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Progressions
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Determine
t
19
of an A.P whose
t
17
is
132
and common difference is
8
(i)
147
(ii)
148
(iii)
146
(iv)
151
(v)
149
Question
2
2.
Given a =
6
, d =
9
, n =
9
, find
t
n
(i)
79
(ii)
77
(iii)
75
(iv)
80
(v)
78
Question
3
3.
Which term of the G.P.
4
,
16
,
64
,
. . .
is
16384
?
(i)
t
4
(ii)
t
8
(iii)
t
9
(iv)
t
7
(v)
t
6
Question
4
4.
Find
S
14
of the A.P.
5
4
,
7
4
,
9
4
,
. . .
=
(i)
63
(ii)
64
(iii)
66
(iv)
62
(v)
61
Question
5
5.
Given
t
n
=
49
, d =
6
, n =
8
, find a
(i)
6
(ii)
8
(iii)
4
(iv)
7
(v)
10
Question
6
6.
Find
t
n
of the A.P
9
,
14
,
19
,
. . .
(i)
(
5
n
+
4
)
(ii)
(
5
n
+
13
)
(iii)
(
2
n
+
4
)
(iv)
(
7
n
+
4
)
(v)
(
5
n
+
9
)
Question
7
7.
If there are n arithmetic means between a and b, the common difference d =
(i)
(
n
−
1
)
(
a
+
b
)
(ii)
(
a
−
b
)
(
n
+
1
)
(iii)
(
b
−
a
)
(
n
+
1
)
(iv)
(
a
+
b
)
(
n
+
1
)
(v)
(
b
−
a
)
(
n
−
1
)
Question
8
8.
Find the sum of first 84 natural numbers
(i)
3572
(ii)
3569
(iii)
3570
(iv)
3571
(v)
3567
Question
9
9.
Find
t
22
of the A.P.
3
,
7
,
11
,
. . .
=
(i)
86
(ii)
88
(iii)
84
(iv)
87
(v)
90
Question
10
10.
Find the sum of the following A.P. series
(
8
x
+
8
y
)
,
(
6
x
+
9
y
)
,
(
4
x
+
10
y
)
. . .
to
5
terms
(i)
(
−
18
x
+
9
y
)
(ii)
(
−
2
x
+
25
y
)
(iii)
(
20
x
+
50
y
)
(iv)
(
18
x
+
39
y
)
(v)
(
22
x
+
37
y
)
Question
11
11.
The
t
13
of an A.P. is
69
and the
t
15
is
79
.
Find
t
20
.
(i)
106
(ii)
103
(iii)
105
(iv)
102
(v)
104
Question
12
12.
Insert
4
arithmetic means between
8
3
and
71
21
.
(i)
43
15
,
46
15
,
49
15
,
52
15
(ii)
59
21
,
62
21
,
65
21
,
68
21
(iii)
65
21
,
74
21
,
83
21
,
92
21
(iv)
53
21
,
50
21
,
47
21
,
44
21
(v)
25
9
,
26
9
,
3
,
28
9
Question
13
13.
The
t
8
of the G.P.
1
3
,
1
18
,
1
108
,
. . .
=
(i)
1
839810
(ii)
1
839806
(iii)
1
839808
(iv)
(
-1
839808
)
(v)
1
279936
Question
14
14.
Determine k so that
(
3
k
+
8
)
,
(
3
k
+
2
)
and
(
7
k
+
8
)
are the consecutive terms of an A.P
(i)
0
(ii)
-3
(iii)
-4
(iv)
-5
(v)
-2
Question
15
15.
Find the common ratio and next four terms of the following G.P.
1
,
0.2
,
0.04
(i)
0.3
;
0.008
,
0.0016
,
0.00032
,
0.000064
(ii)
0.3
;
0.001
,
0.0001
,
0.00001
,
0.000001
(iii)
0.2
;
0.008
,
0.0016
,
0.00032
,
0.000064
(iv)
0.3
;
0.027
,
0.0081
,
0.00243
,
0.000729
Question
16
16.
Find
t
5
of the A.P.
7
2
,
29
8
,
15
4
,
. . .
=
(i)
3
(ii)
1
(iii)
5
(iv)
6
(v)
4
Question
17
17.
Find
t
n
of the A.P
8
,
14
,
20
,
26
,
32
,
. . .
(i)
(
6
n
+
10
)
(ii)
(
2
n
+
2
)
(iii)
(
6
n
+
2
)
(iv)
(
6
n
+
8
)
(v)
(
7
n
+
2
)
Question
18
18.
The
t
n
of a G.P. =
(i)
(
a
)
(
(
r
)
n
−
1
)
(
r
−
1
)
(ii)
a
r
(
n
−
1
)
(iii)
(
r
)
(
(
a
)
n
−
1
)
(
a
−
1
)
(iv)
r
a
(
n
−
1
)
Question
19
19.
The sum of first three terms of an A.P. is
15
while their product is
80
.
Find the A.P.
(i)
2
,
4
,
6
,
. . .
(ii)
2
,
5
,
8
,
. . .
(iii)
2
,
3
,
4
,
. . .
(iv)
5
,
8
,
11
,
. . .
(v)
3
,
6
,
9
,
. . .
Question
20
20.
The common difference of the A.P.
3
8
,
23
40
,
31
40
,
. . .
=
(i)
1
7
(ii)
1
3
(iii)
3
5
(iv)
1
5
(v)
(
-1
5
)
Question
21
21.
How many terms of the A.P.
5
2
,
27
10
,
29
10
,
. . .
are needed to
make the sum
216
5
?
(i)
11
(ii)
13
(iii)
9
(iv)
12
(v)
14
Question
22
22.
Find the value
' x '
so that
5
3
,
x
,
3
5
, are three consecutive terms of a G.P.
(i)
0
(ii)
-2
(iii)
4
(iv)
1
(v)
2
Question
23
23.
The
t
3
of an A.P is
p
and
t
4
is
q
.
Find
t
12
and
t
n
.
(i)
(
−
8
p
+
9
q
)
,
(
−
p
n
+
p
+
q
n
−
q
)
(ii)
(
−
8
p
+
9
q
)
,
(
−
p
n
+
4
p
+
q
n
−
3
q
)
(iii)
(
−
5
p
+
7
q
)
,
(
−
p
n
+
7
p
+
q
n
−
5
q
)
(iv)
(
−
7
p
+
8
q
)
,
(
−
p
n
+
4
p
+
q
n
−
3
q
)
(v)
(
−
9
p
+
10
q
)
,
(
−
p
n
+
3
p
+
q
n
−
2
q
)
Question
24
24.
Determine
t
19
of an A.P whose
t
8
is
51
14
and common difference is
1
2
(i)
62
7
(ii)
66
7
(iii)
64
9
(iv)
64
7
(v)
64
5
Question
25
25.
The common difference of the A.P.
8
,
16
,
24
,
. . .
=
(i)
7
(ii)
8
(iii)
9
(iv)
5
(v)
11
Assignment Key
1) (ii)
2) (v)
3) (iv)
4) (i)
5) (iv)
6) (i)
7) (iii)
8) (iii)
9) (iv)
10) (iii)
11) (v)
12) (ii)
13) (iii)
14) (ii)
15) (iii)
16) (v)
17) (iii)
18) (ii)
19) (ii)
20) (iv)
21) (iv)
22) (iv)
23) (ii)
24) (iv)
25) (ii)
