EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Progressions
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
The measures of the interior angles of a convex polygon are in A.P.
If the smallest angle is
130
and the largest angle is
170
,
then the number of sides of the polygon is
(i)
12
(ii)
13
(iii)
15
(iv)
11
(v)
10
Question
2
2.
Find the common ratio and next four terms of the following G.P.
4
3
,
1
,
3
4
. . .
(i)
3
4
;
9
16
,
27
64
,
81
256
,
243
1024
(ii)
1
3
4
;
9
16
,
27
64
,
81
256
,
243
1024
(iii)
1
3
4
;
(
-1
48
)
,
1
192
,
(
-1
768
)
,
1
3072
(iv)
1
3
4
;
343
48
,
2401
192
,
16807
768
,
117649
3072
Question
3
3.
Find the sum of all natural numbers between 1 and 100 which are multiples of 6?
(i)
814
(ii)
817
(iii)
818
(iv)
816
(v)
815
Question
4
4.
If
S
20
and
S
30
of an A.P. are
800
and
1800
respectively, then
S
50
=
(i)
5001
(ii)
5000
(iii)
5002
(iv)
4997
Question
5
5.
Find the sum of all natural numbers between 100 and 200 which are multiples of 6?
(i)
2553
(ii)
2547
(iii)
2550
(iv)
2551
(v)
2549
Question
6
6.
If a =
7
and d =
2
, find
t
9
of the A.P.
(i)
21
(ii)
26
(iii)
24
(iv)
23
(v)
22
Question
7
7.
The first term of the A.P.
5
9
,
44
63
,
53
63
,
62
63
,
71
63
,
. . .
=
(i)
44
63
(ii)
62
63
(iii)
71
63
(iv)
5
9
(v)
53
63
Question
8
8.
Find
t
24
of the A.P.
5
2
,
17
6
,
19
6
,
. . .
=
(i)
59
6
(ii)
61
6
(iii)
61
8
(iv)
61
4
(v)
21
2
Question
9
9.
Find the sum of the following A.P. series
(
9
x
+
8
y
)
,
(
2
x
+
4
y
)
,
(
−
5
x
)
. . .
to
14
terms
(i)
(
−
511
x
−
252
y
)
(ii)
(
−
436
x
−
212
y
)
(iii)
(
−
630
x
−
360
y
)
(iv)
(
−
422
x
−
204
y
)
(v)
(
−
612
x
−
344
y
)
Question
10
10.
The first term of the A.P.
2
,
9
,
16
,
23
,
30
,
. . .
=
(i)
30
(ii)
2
(iii)
16
(iv)
9
(v)
23
Question
11
11.
Given
t
n
=
100
, a =
2
, n =
15
, find d
(i)
6
(ii)
10
(iii)
7
(iv)
8
(v)
5
Question
12
12.
Find
S
24
of the A.P.
1
4
,
7
12
,
11
12
,
. . .
=
(i)
101
(ii)
95
(iii)
99
(iv)
98
(v)
97
Question
13
13.
If there are n arithmetic means between a and b, the common difference d =
(i)
(
a
+
b
)
(
n
+
1
)
(ii)
(
b
−
a
)
(
n
+
1
)
(iii)
(
n
−
1
)
(
a
+
b
)
(iv)
(
a
−
b
)
(
n
+
1
)
(v)
(
b
−
a
)
(
n
−
1
)
Question
14
14.
How many terms of the A.P.
9
,
13
,
17
,
. . .
are needed to
make the sum
940
?
(i)
19
(ii)
18
(iii)
21
(iv)
20
(v)
22
Question
15
15.
Determine
t
4
of a G.P. whose
t
6
is
2
15625
and common ratio is
1
5
.
(i)
2
627
(ii)
4
625
(iii)
2
623
(iv)
0
(v)
2
625
Question
16
16.
The product of two numbers is
1485
and their arithmetic mean is
39
.
Find the two numbers.
(i)
(
33
,
45
)
(ii)
(
47
,
35
)
(iii)
(
33
,
44
)
(iv)
(
35
,
45
)
(v)
(
34
,
46
)
Question
17
17.
The
t
6
of an A.P is
p
and
t
7
is
q
.
Find
t
11
and
t
n
.
(i)
(
−
5
p
+
6
q
)
,
(
−
p
n
+
6
p
+
q
n
−
5
q
)
(ii)
(
−
3
p
+
4
q
)
,
(
−
p
n
+
7
p
+
q
n
−
6
q
)
(iii)
(
−
4
p
+
5
q
)
,
(
−
p
n
+
p
+
q
n
−
q
)
(iv)
2
p
,
(
−
p
n
+
13
p
+
q
n
−
11
q
)
(v)
(
−
4
p
+
5
q
)
,
(
−
p
n
+
7
p
+
q
n
−
6
q
)
Question
18
18.
Determine
t
18
of an A.P whose
t
8
is
66
and common difference is
9
(i)
158
(ii)
155
(iii)
156
(iv)
157
(v)
154
Question
19
19.
Find the common difference and next four terms of the
following A.P.
7
9
,
58
63
,
67
63
,
. . .
=
(i)
1
1
7
;
(
-113
63
)
,
(
-167
63
)
,
(
-221
63
)
,
(
-275
63
)
(ii)
1
7
;
76
63
,
85
63
,
94
63
,
103
63
(iii)
1
1
7
;
265
63
,
337
63
,
409
63
,
481
63
(iv)
1
1
7
;
76
63
,
85
63
,
94
63
,
103
63
Question
20
20.
Determine
t
8
of an A.P whose
t
18
is
65
12
and common difference is
1
4
(i)
35
12
(ii)
37
12
(iii)
11
4
(iv)
5
2
(v)
7
2
Question
21
21.
The sum of first three terms of a G.P. is
93
and
the sum of next three terms is
11625
.
Determine the G.P.
(i)
5
,
13
,
75
,
375
,
1875
,
9375
,
. . .
(ii)
1
,
17
,
75
,
375
,
1875
,
9375
,
. . .
(iii)
0
,
18
,
75
,
375
,
1875
,
9375
,
. . .
(iv)
3
,
15
,
75
,
375
,
1875
,
9375
,
. . .
(v)
6
,
12
,
75
,
375
,
1875
,
9375
,
. . .
Question
22
22.
The common difference of the A.P.
1
9
,
5
18
,
4
9
,
. . .
=
(i)
1
4
(ii)
(
-1
6
)
(iii)
1
6
(iv)
1
8
(v)
1
2
Question
23
23.
Given
t
n
=
74
, a =
6
, n =
18
, find
S
n
(i)
723
(ii)
719
(iii)
717
(iv)
720
(v)
721
Question
24
24.
If a =
17
15
and b =
23
15
,
the arithmetic mean of a and b =
(i)
2
(ii)
4
3
(iii)
2
3
(iv)
4
5
(v)
4
Question
25
25.
Which term of the G.P.
5
2
,
5
4
,
5
8
,
. . .
is
5
32
?
(i)
t
6
(ii)
t
4
(iii)
t
2
(iv)
t
5
(v)
t
7
Assignment Key
1) (i)
2) (i)
3) (iv)
4) (ii)
5) (iii)
6) (iv)
7) (iv)
8) (ii)
9) (i)
10) (ii)
11) (iii)
12) (iv)
13) (ii)
14) (iv)
15) (v)
16) (i)
17) (v)
18) (iii)
19) (ii)
20) (i)
21) (iv)
22) (iii)
23) (iv)
24) (ii)
25) (iv)
