EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Progressions
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
The product of two numbers is
8051
and their arithmetic mean is
90
.
Find the two numbers.
(i)
(
99
,
85
)
(ii)
(
83
,
96
)
(iii)
(
85
,
97
)
(iv)
(
83
,
97
)
(v)
(
84
,
98
)
Question
2
2.
The sum of first three terms of a G.P. is
7
6
while their product is
1
27
.
Find the G.P.
(i)
2
3
,
2
3
,
2
3
,
. . .
(ii)
2
3
,
(
-1
3
)
,
1
6
,
. . .
(iii)
2
5
,
1
5
,
1
10
,
. . .
(iv)
2
3
,
1
3
,
1
6
,
. . .
(v)
4
3
,
2
3
,
1
3
,
. . .
Question
3
3.
The
t
20
of an A.P. is
173
and the
t
11
is
92
.
Find
t
18
.
(i)
158
(ii)
155
(iii)
154
(iv)
156
(v)
153
Question
4
4.
Find the common difference and next four terms of the
following A.P.
7
,
13
,
19
,
. . .
=
(i)
7
;
22
,
27
,
32
,
37
(ii)
7
;
28
,
35
,
42
,
49
(iii)
6
;
25
,
31
,
37
,
43
(iv)
7
;
25
,
31
,
37
,
43
Question
5
5.
Which term of the G.P.
2
,
2
√
2
,
4
. . .
is
8
?
(i)
t
5
(ii)
t
6
(iii)
t
4
(iv)
t
2
(v)
t
8
Question
6
6.
If
S
40
and
S
80
of an A.P. are
1640
and
6480
respectively, then
S
120
=
(i)
14518
(ii)
14520
(iii)
14523
(iv)
14521
Question
7
7.
Determine
t
17
of an A.P whose
t
7
is
45
and common difference is
6
(i)
104
(ii)
106
(iii)
102
(iv)
105
(v)
108
Question
8
8.
Given
t
n
=
131
, n =
19
,
S
n
=
1292
, find a
(i)
6
(ii)
5
(iii)
3
(iv)
8
(v)
4
Question
9
9.
The
t
6
of an A.P is
p
and
t
7
is
q
.
Find
t
20
and
t
n
.
(i)
(
−
14
p
+
15
q
)
,
(
−
p
n
+
6
p
+
q
n
−
5
q
)
(ii)
(
−
12
p
+
13
q
)
,
(
−
p
n
+
7
p
+
q
n
−
6
q
)
(iii)
(
−
13
p
+
14
q
)
,
(
−
p
n
+
p
+
q
n
−
q
)
(iv)
(
−
13
p
+
14
q
)
,
(
−
p
n
+
7
p
+
q
n
−
6
q
)
(v)
(
−
7
p
+
9
q
)
,
(
−
p
n
+
13
p
+
q
n
−
11
q
)
Question
10
10.
Insert
2
arithmetic means between
4
and
22
.
(i)
9
,
14
(ii)
10
,
16
(iii)
7
,
10
(iv)
12
,
20
(v)
11
,
18
Question
11
11.
Find
t
n
of the A.P
6
5
,
53
40
,
29
20
,
63
40
,
17
10
,
. . .
(i)
(
1
8
n
+
6
5
)
(ii)
(
−
7
8
n
+
43
40
)
(iii)
(
17
8
n
+
43
40
)
(iv)
(
1
8
n
+
43
40
)
(v)
(
1
8
n
+
91
40
)
Question
12
12.
Given
t
n
=
131
, d =
8
, n =
17
, find a
(i)
0
(ii)
4
(iii)
2
(iv)
5
(v)
3
Question
13
13.
Given a =
6
, d =
9
,
S
n
=
378
, find n
(i)
10
(ii)
7
(iii)
8
(iv)
11
(v)
9
Question
14
14.
If a, b, c are three consecutive terms of an A.P, then which of the following are true?
a)
k
b
,
k
a
,
k
c
are in G.P.
b)
a
b
,
b
c
,
c
a
are in G.P.
c)
k
a
,
k
b
,
k
c
are in G.P.
d)
a
k
,
b
k
,
c
k
are in G.P.
(i)
{a,c}
(ii)
{d,a,c}
(iii)
{c}
(iv)
{b,c}
Question
15
15.
If there are n arithmetic means between a and b, the common difference d =
(i)
(
b
−
a
)
(
n
+
1
)
(ii)
(
b
−
a
)
(
n
−
1
)
(iii)
(
a
+
b
)
(
n
+
1
)
(iv)
(
n
−
1
)
(
a
+
b
)
(v)
(
a
−
b
)
(
n
+
1
)
Question
16
16.
Which term of the A.P.
3
8
,
17
24
,
25
24
,
. . .
is
19
8
?
(i)
t
8
(ii)
t
6
(iii)
t
5
(iv)
t
10
(v)
t
7
Question
17
17.
Given
t
n
=
55
, d =
3
, n =
18
, find
S
n
(i)
534
(ii)
528
(iii)
532
(iv)
531
(v)
530
Question
18
18.
Find
t
15
of the A.P.
6
,
15
,
24
,
. . .
=
(i)
133
(ii)
132
(iii)
129
(iv)
131
(v)
135
Question
19
19.
Given a =
2
, d =
5
,
S
n
=
198
, find
t
n
(i)
40
(ii)
42
(iii)
44
(iv)
41
(v)
43
Question
20
20.
If a =
19
and b =
21
,
the arithmetic mean of a and b =
(i)
21
(ii)
18
(iii)
22
(iv)
19
(v)
20
Question
21
21.
The
t
11
of an A.P. is
14
3
and the
t
19
is
94
15
.
Find
t
15
.
(i)
82
15
(ii)
82
13
(iii)
28
5
(iv)
16
3
(v)
82
17
Question
22
22.
Given a =
1
, r =
0.10
find
t
3
and
t
n
of the G.P.
(i)
-0.19
;
0.10
(
n
−
1
)
(ii)
0.11
;
1.10
(
n
−
1
)
(iii)
0.01
;
0.10
(
n
−
1
)
(iv)
-0.09
;
0.10
(
n
−
1
)
(v)
0.21
;
0.90
(
n
−
1
)
Question
23
23.
Insert
1
arithmetic means between
7
3
and
41
15
.
(i)
8
3
(ii)
32
15
(iii)
38
15
(iv)
44
15
(v)
52
21
Question
24
24.
Which term of the G.P.
3
,
6
,
12
,
. . .
is
24
?
(i)
t
4
(ii)
t
2
(iii)
t
5
(iv)
t
6
(v)
t
3
Question
25
25.
Find
t
n
of the A.P
8
,
11
,
14
,
17
,
20
,
. . .
(i)
(
7
n
+
5
)
(ii)
(
3
n
+
5
)
(iii)
(
3
n
+
8
)
(iv)
5
(v)
(
3
n
+
13
)
Assignment Key
1) (iv)
2) (iv)
3) (ii)
4) (iii)
5) (i)
6) (ii)
7) (iv)
8) (ii)
9) (iv)
10) (ii)
11) (iv)
12) (v)
13) (v)
14) (iii)
15) (i)
16) (v)
17) (iv)
18) (ii)
19) (ii)
20) (v)
21) (i)
22) (iii)
23) (iii)
24) (i)
25) (ii)
