EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Progressions
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Given
t
n
=
77
, a =
7
, n =
15
, find
S
n
(i)
633
(ii)
629
(iii)
631
(iv)
628
(v)
630
Question
2
2.
The
t
7
of the G.P.
5
6
,
5
36
,
5
216
,
. . .
=
(i)
1
93312
(ii)
5
279936
(iii)
5
279938
(iv)
7
279936
(v)
5
279934
Question
3
3.
Given
t
n
=
71
, a =
6
, n =
14
, find d
(i)
5
(ii)
4
(iii)
6
(iv)
8
(v)
3
Question
4
4.
Find
t
8
of the A.P.
7
,
13
,
19
,
. . .
=
(i)
49
(ii)
48
(iii)
46
(iv)
51
(v)
50
Question
5
5.
The
t
17
of an A.P. is
65
and the
t
14
is
53
.
Find
t
7
.
(i)
22
(ii)
25
(iii)
26
(iv)
28
(v)
24
Question
6
6.
Given
t
n
=
47
, n =
6
,
S
n
=
162
, find a
(i)
5
(ii)
7
(iii)
8
(iv)
6
(v)
10
Question
7
7.
The first term of the A.P.
1
,
6
,
11
,
16
,
21
,
. . .
=
(i)
6
(ii)
1
(iii)
11
(iv)
16
(v)
21
Question
8
8.
The sum of first three terms of a G.P. is
124
and
the sum of next three terms is
15500
.
Determine the G.P.
(i)
1
,
23
,
100
,
500
,
2500
,
12500
,
. . .
(ii)
4
,
20
,
100
,
500
,
2500
,
12500
,
. . .
(iii)
6
,
18
,
100
,
500
,
2500
,
12500
,
. . .
(iv)
7
,
17
,
100
,
500
,
2500
,
12500
,
. . .
(v)
2
,
22
,
100
,
500
,
2500
,
12500
,
. . .
Question
9
9.
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
10
10.
Given
t
n
=
74
, n =
14
,
S
n
=
581
, find d
(i)
6
(ii)
4
(iii)
7
(iv)
5
(v)
3
Question
11
11.
Find the common difference and next four terms of the
following A.P.
1
6
,
11
30
,
17
30
,
. . .
=
(i)
1
1
5
;
23
30
,
29
30
,
7
6
,
41
30
(ii)
1
1
5
;
113
30
,
149
30
,
37
6
,
221
30
(iii)
1
5
;
23
30
,
29
30
,
7
6
,
41
30
(iv)
1
1
5
;
(
-67
30
)
,
(
-91
30
)
,
(
-23
6
)
,
(
-139
30
)
Question
12
12.
The
t
8
of a G.P. is
2
14348907
and
t
6
is
2
177147
.
Find
t
5
.
(i)
2
19681
(ii)
2
19683
(iii)
0
(iv)
4
19683
(v)
2
19685
Question
13
13.
Determine
t
6
of a G.P. whose
t
7
is
4
352947
and common ratio is
1
7
.
(i)
2
16807
(ii)
4
50423
(iii)
4
50421
(iv)
2
50421
(v)
4
50419
Question
14
14.
Given a =
9
, d =
2
, n =
5
, find
t
n
(i)
18
(ii)
14
(iii)
19
(iv)
17
(v)
16
Question
15
15.
If a =
25
and b =
27
,
the arithmetic mean of a and b =
(i)
26
(ii)
29
(iii)
23
(iv)
27
(v)
25
Question
16
16.
The
t
n
of a G.P. =
(i)
(
r
)
(
(
a
)
n
−
1
)
(
a
−
1
)
(ii)
a
r
(
n
−
1
)
(iii)
r
a
(
n
−
1
)
(iv)
(
a
)
(
(
r
)
n
−
1
)
(
r
−
1
)
Question
17
17.
Which term of the A.P.
9
8
,
31
24
,
35
24
,
. . .
is
17
8
?
(i)
t
5
(ii)
t
7
(iii)
t
10
(iv)
t
8
(v)
t
6
Question
18
18.
If x
≠
y and the sequences x ,
a
1
,
a
2
, y and x ,
b
1
,
b
2
, y
each are in A.P., then
a
2
−
a
1
b
2
−
b
1
=
(i)
4
3
(ii)
(
-3
4
)
(iii)
3
2
(iv)
1
(v)
2
3
Question
19
19.
If the
t
n
of an A.P is
(
6
n
+
4
)
, find
S
n
(i)
(
8
)
(
n
2
+
n
)
2
+
7
n
(ii)
(
3
)
(
n
2
+
n
)
2
+
9
n
(iii)
(
4
)
(
n
2
+
n
)
2
+
7
n
(iv)
(
6
)
(
n
2
+
n
)
2
+
4
n
(v)
(
2
)
(
n
2
+
n
)
2
+
5
n
Question
20
20.
The
t
7
of a G.P. is
256
and
t
6
is
128
.
Find
t
3
.
(i)
14
(ii)
16
(iii)
18
(iv)
17
(v)
15
Question
21
21.
Find the sum of all natural numbers between 1 and 100 which are multiples of 3?
(i)
1682
(ii)
1683
(iii)
1685
(iv)
1681
(v)
1684
Question
22
22.
The
t
6
of the G.P.
4
,
20
,
100
,
. . .
=
(i)
12497
(ii)
12500
(iii)
12499
(iv)
12503
(v)
12501
Question
23
23.
Determine
t
10
of an A.P whose
t
14
is
103
24
and common difference is
1
8
(i)
91
22
(ii)
89
24
(iii)
31
8
(iv)
91
24
(v)
7
2
Question
24
24.
Determine
t
20
of an A.P whose
t
11
is
84
and common difference is
8
(i)
155
(ii)
156
(iii)
157
(iv)
153
(v)
159
Question
25
25.
Find the sum of first 52 natural numbers
(i)
1381
(ii)
1379
(iii)
1375
(iv)
1378
(v)
1377
Assignment Key
1) (v)
2) (ii)
3) (i)
4) (i)
5) (ii)
6) (ii)
7) (ii)
8) (ii)
9) (v)
10) (iv)
11) (iii)
12) (ii)
13) (iii)
14) (iv)
15) (i)
16) (ii)
17) (ii)
18) (iv)
19) (iv)
20) (ii)
21) (ii)
22) (ii)
23) (iv)
24) (ii)
25) (iv)
