EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Progressions
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
The first term of the A.P.
4
,
11
,
18
,
25
,
32
,
. . .
=
(i)
4
(ii)
11
(iii)
32
(iv)
25
(v)
18
Question
2
2.
Find
t
n
of the A.P
9
,
11
,
13
,
. . .
(i)
(
2
n
+
7
)
(ii)
(
−
n
+
7
)
(iii)
(
2
n
+
9
)
(iv)
(
2
n
+
16
)
(v)
(
6
n
+
7
)
Question
3
3.
The common ratio of the G.P.
8
5
,
1
5
,
1
40
,
. . .
=
(i)
(
-1
8
)
(ii)
3
8
(iii)
1
6
(iv)
1
10
(v)
1
8
Question
4
4.
Find the common ratio and next four terms of the following G.P.
5
6
,
5
18
,
5
54
. . .
(i)
1
3
;
5
162
,
5
486
,
5
1458
,
5
4374
(ii)
1
1
3
;
5
162
,
5
486
,
5
1458
,
5
4374
(iii)
1
1
3
;
(
-20
81
)
,
40
243
,
(
-80
729
)
,
160
2187
(iv)
1
1
3
;
160
81
,
640
243
,
2560
729
,
10240
2187
Question
5
5.
If a =
7
3
and d =
1
9
, find
t
10
of the A.P.
(i)
2
(ii)
10
3
(iii)
8
3
(iv)
10
(v)
4
Question
6
6.
If the
t
n
of an A.P is
(
7
n
+
7
)
, find
S
n
(i)
(
1
)
(
n
2
+
n
)
2
+
3
n
(ii)
(
9
)
(
n
2
+
n
)
2
+
5
n
(iii)
(
5
)
(
n
2
+
n
)
2
+
9
n
(iv)
(
7
)
(
n
2
+
n
)
2
+
7
n
(v)
(
8
)
(
n
2
+
n
)
2
+
7
n
Question
7
7.
Determine k so that
(
7
k
+
4
)
,
(
5
k
+
6
)
and
(
k
+
5
)
are the consecutive terms of an A.P
(i)
(
-3
2
)
(ii)
-2
(iii)
(
-1
2
)
(iv)
(
-5
4
)
(v)
(
-5
2
)
Question
8
8.
The common ratio of the G.P.
3
,
15
,
75
,
. . .
=
(i)
8
(ii)
4
(iii)
6
(iv)
5
(v)
3
Question
9
9.
If a =
4
3
and b =
14
9
,
the arithmetic mean of a and b =
(i)
5
3
(ii)
11
9
(iii)
13
9
(iv)
13
11
(v)
13
7
Question
10
10.
The
t
16
of an A.P. is
11
2
and the
t
6
is
7
2
.
Find
t
9
.
(i)
41
10
(ii)
41
8
(iii)
41
12
(iv)
39
10
(v)
43
10
Question
11
11.
Insert
1
arithmetic means between
3
and
17
.
(i)
11
(ii)
8
(iii)
13
(iv)
9
(v)
10
Question
12
12.
Given a =
3
, d =
4
,
S
n
=
351
, find n
(i)
13
(ii)
14
(iii)
16
(iv)
12
(v)
11
Question
13
13.
Given a =
8
, d =
2
, n =
14
, find
t
n
(i)
35
(ii)
34
(iii)
31
(iv)
33
(v)
36
Question
14
14.
Find the common difference and next four terms of the
following A.P.
7
,
14
,
21
,
. . .
=
(i)
8
;
31
,
39
,
47
,
55
(ii)
8
;
25
,
31
,
37
,
43
(iii)
7
;
28
,
35
,
42
,
49
(iv)
8
;
28
,
35
,
42
,
49
Question
15
15.
The first term of the A.P.
9
2
,
83
18
,
85
18
,
29
6
,
89
18
,
. . .
=
(i)
83
18
(ii)
29
6
(iii)
9
2
(iv)
85
18
(v)
89
18
Question
16
16.
Which term of the A.P.
9
8
,
71
56
,
79
56
,
. . .
is
159
56
?
(i)
t
14
(ii)
t
13
(iii)
t
11
(iv)
t
15
(v)
t
12
Question
17
17.
If there are n arithmetic means between a and b, the common difference d =
(i)
(
n
−
1
)
(
a
+
b
)
(ii)
(
b
−
a
)
(
n
+
1
)
(iii)
(
b
−
a
)
(
n
−
1
)
(iv)
(
a
−
b
)
(
n
+
1
)
(v)
(
a
+
b
)
(
n
+
1
)
Question
18
18.
Find the sum of all natural numbers between 1 and 100 which are multiples of 8?
(i)
623
(ii)
622
(iii)
625
(iv)
624
(v)
626
Question
19
19.
The
t
n
of a G.P. =
(i)
r
a
(
n
−
1
)
(ii)
a
r
(
n
−
1
)
(iii)
(
r
)
(
(
a
)
n
−
1
)
(
a
−
1
)
(iv)
(
a
)
(
(
r
)
n
−
1
)
(
r
−
1
)
Question
20
20.
If the nth ,(n+3)rd and (n+6)th term of a G.P. are p, q and s respectively, then which of the following are true?
a)
s
2
=
pq
b)
p
2
=
qs
c)
pqs = 1
d)
q
2
=
ps
(i)
{d}
(ii)
{b,d}
(iii)
{a,d}
(iv)
{c,a,d}
Question
21
21.
Determine
t
6
of an A.P whose
t
14
is
73
and common difference is
5
(i)
30
(ii)
33
(iii)
32
(iv)
34
(v)
35
Question
22
22.
Find the sum of the following A.P. series
(
2
x
+
7
y
)
,
(
−
6
x
−
2
y
)
,
(
−
14
x
−
11
y
)
. . .
to
13
terms
(i)
(
−
512
x
−
519
y
)
(ii)
(
−
496
x
−
501
y
)
(iii)
(
−
612
x
−
679
y
)
(iv)
(
−
616
x
−
693
y
)
(v)
(
−
598
x
−
611
y
)
Question
23
23.
The product of two numbers is
16093
and their arithmetic mean is
127
.
Find the two numbers.
(i)
(
121
,
133
)
(ii)
(
121
,
132
)
(iii)
(
122
,
134
)
(iv)
(
135
,
123
)
(v)
(
124
,
133
)
Question
24
24.
Given
t
n
=
104
, a =
2
, n =
18
, find d
(i)
9
(ii)
4
(iii)
7
(iv)
6
(v)
5
Question
25
25.
Given a =
1
, r =
0.70
find
t
4
and
t
n
of the G.P.
(i)
0.44
;
1.70
(
n
−
1
)
(ii)
0.24
;
0.70
(
n
−
1
)
(iii)
0.14
;
0.70
(
n
−
1
)
(iv)
0.34
;
0.70
(
n
−
1
)
(v)
0.54
;
0.30
(
n
−
1
)
Assignment Key
1) (i)
2) (i)
3) (v)
4) (i)
5) (ii)
6) (iv)
7) (i)
8) (iv)
9) (iii)
10) (i)
11) (v)
12) (i)
13) (ii)
14) (iii)
15) (iii)
16) (ii)
17) (ii)
18) (iv)
19) (ii)
20) (i)
21) (ii)
22) (v)
23) (i)
24) (iv)
25) (iv)
