EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Progressions
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Given a =
3
, d =
3
, n =
14
, find
S
n
(i)
317
(ii)
316
(iii)
314
(iv)
313
(v)
315
Question
2
2.
Find
S
12
of the A.P.
1
,
6
,
11
,
. . .
=
(i)
342
(ii)
345
(iii)
343
(iv)
341
(v)
340
Question
3
3.
Find the common ratio and the next four terms of the
following G.P.
√
5
,
2
√
5
,
4
√
5
. . .
(i)
√
4
;
27
√
5
;
81
√
5
;
243
√
5
;
729
√
5
(ii)
√
4
;
7
√
35
;
49
√
5
;
49
√
35
;
343
√
5
(iii)
√
5
;
16
√
5
;
32
√
5
;
64
√
5
;
128
√
5
(iv)
√
5
;
8
√
5
;
16
√
5
;
32
√
5
;
64
√
5
(v)
√
4
;
8
√
5
;
16
√
5
;
32
√
5
;
64
√
5
Question
4
4.
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)
3
2
(ii)
2
3
(iii)
(
-3
4
)
(iv)
1
(v)
4
3
Question
5
5.
The common difference of the A.P.
7
6
,
4
3
,
3
2
,
. . .
=
(i)
(
-1
6
)
(ii)
1
2
(iii)
1
6
(iv)
1
4
(v)
1
8
Question
6
6.
Find
t
20
of the A.P.
7
,
16
,
25
,
. . .
=
(i)
179
(ii)
177
(iii)
181
(iv)
178
(v)
175
Question
7
7.
The sum of first three terms of a G.P. is
105
while their product is
8000
.
Find the G.P.
(i)
7
,
28
,
112
,
. . .
(ii)
6
,
24
,
96
,
. . .
(iii)
5
,
15
,
45
,
. . .
(iv)
5
,
5
,
5
,
. . .
(v)
5
,
20
,
80
,
. . .
Question
8
8.
Given
t
n
=
41
, n =
10
,
S
n
=
230
, find a
(i)
6
(ii)
8
(iii)
2
(iv)
4
(v)
5
Question
9
9.
Insert
1
arithmetic means between
8
7
and
23
14
.
(i)
39
28
(ii)
23
14
(iii)
55
42
(iv)
53
28
(v)
25
28
Question
10
10.
How many terms of the A.P.
4
,
7
,
10
,
. . .
are needed to
make the sum
144
?
(i)
9
(ii)
6
(iii)
8
(iv)
12
(v)
10
Question
11
11.
Determine
t
17
of an A.P whose
t
9
is
22
and common difference is
2
(i)
38
(ii)
37
(iii)
39
(iv)
40
(v)
36
Question
12
12.
The sum of first three terms of a G.P. is
31
75
while their product is
1
3375
.
Find the G.P.
(i)
1
3
,
(
-1
15
)
,
1
75
,
. . .
(ii)
1
,
1
5
,
1
25
,
. . .
(iii)
1
3
,
1
15
,
1
75
,
. . .
(iv)
1
5
,
1
25
,
1
125
,
. . .
(v)
1
3
,
1
9
,
1
27
,
. . .
Question
13
13.
If the
t
n
of an A.P is
(
5
n
+
3
)
, find
S
n
(i)
(
7
)
(
n
2
+
n
)
2
+
9
n
(ii)
(
5
)
(
n
2
+
n
)
2
+
3
n
(iii)
(
2
)
(
n
2
+
n
)
2
+
9
n
(iv)
(
4
)
(
n
2
+
n
)
2
+
8
n
(v)
(
8
)
(
n
2
+
n
)
2
+
6
n
Question
14
14.
Given a =
1
, r =
0.20
find
t
3
and
t
n
of the G.P.
(i)
0.24
;
0.80
(
n
−
1
)
(ii)
0.14
;
1.20
(
n
−
1
)
(iii)
0.04
;
0.20
(
n
−
1
)
(iv)
-0.16
;
0.20
(
n
−
1
)
(v)
-0.06
;
0.20
(
n
−
1
)
Question
15
15.
Find the common ratio and next four terms of the following G.P.
9
,
7.2
,
5.76
(i)
0.9
;
6.561
,
5.9049
,
5.31441
,
4.782969
(ii)
0.8
;
4.608
,
3.6864
,
2.94912
,
2.359296
(iii)
0.9
;
3.087
,
2.1609
,
1.51263
,
1.058841
(iv)
0.9
;
4.608
,
3.6864
,
2.94912
,
2.359296
Question
16
16.
The sum of first three terms of an A.P. is
11
6
while their product is
143
648
.
Find the A.P.
(i)
3
2
,
29
18
,
31
18
,
. . .
(ii)
1
4
,
13
36
,
17
36
,
. . .
(iii)
1
2
,
9
14
,
11
14
,
. . .
(iv)
1
2
,
7
18
,
5
18
,
. . .
(v)
1
2
,
11
18
,
13
18
,
. . .
Question
17
17.
The
t
5
of an A.P. is
35
and the
t
7
is
51
.
Find
t
6
.
(i)
43
(ii)
42
(iii)
46
(iv)
41
(v)
44
Question
18
18.
Find
t
20
of the A.P.
5
6
,
17
18
,
19
18
,
. . .
=
(i)
55
18
(ii)
53
20
(iii)
53
16
(iv)
17
6
(v)
53
18
Question
19
19.
Given a =
5
, d =
7
, n =
11
, find
t
n
(i)
75
(ii)
76
(iii)
74
(iv)
73
(v)
78
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)
q
2
=
ps
b)
pqs = 1
c)
s
2
=
pq
d)
p
2
=
qs
(i)
{d,b,a}
(ii)
{a}
(iii)
{b,a}
(iv)
{c,a}
Question
21
21.
Given
t
n
=
33
, d =
2
, n =
13
, find
S
n
(i)
272
(ii)
275
(iii)
273
(iv)
270
(v)
274
Question
22
22.
Insert
3
arithmetic means between
5
and
41
.
(i)
13
,
21
,
29
(ii)
12
,
19
,
26
(iii)
15
,
25
,
35
(iv)
14
,
23
,
32
(v)
17
,
29
,
41
Question
23
23.
The
t
6
of the G.P.
1
7
,
1
63
,
1
567
,
. . .
=
(i)
1
137781
(ii)
(
-1
413343
)
(iii)
1
413343
(iv)
1
413341
(v)
1
413345
Question
24
24.
The first term of the G.P.
7
8
,
1
8
,
1
56
,
1
392
,
1
2744
,
. . .
=
(i)
1
56
(ii)
1
2744
(iii)
1
8
(iv)
1
392
(v)
7
8
Question
25
25.
Determine
t
7
of a G.P. whose
t
4
is
9
250
and common ratio is
1
5
.
(i)
1
3472
(ii)
7
31250
(iii)
11
31250
(iv)
9
31252
(v)
9
31250
Assignment Key
1) (v)
2) (i)
3) (v)
4) (iv)
5) (iii)
6) (iv)
7) (v)
8) (v)
9) (i)
10) (i)
11) (i)
12) (iii)
13) (ii)
14) (iii)
15) (ii)
16) (v)
17) (i)
18) (v)
19) (i)
20) (ii)
21) (iii)
22) (iv)
23) (iii)
24) (v)
25) (v)
